text: Search a number
  70225 = 52532
  BaseRepresentation
  bin10001001001010001
  310120022221
  4101021101
  54221400
  61301041
  7411511
  oct211121
  9116287
  1070225
  1148841
  1234781
  1325c6c
  141b841
  1515c1a
  hex11251
  
  70225 has 9 divisors (see below), whose sum is σ = 88753. Its totient is φ = 55120.
  
  The previous prime is 70223. The next prime is 70229. The reversal of 70225 is 52207.
  
  Multipling 70225 by its sum of digits (16), we get a square (1123600 = 10602).
  
  It can be divided in two parts, 702 and 25, that added together give a palindrome (727).
  
  70225 = T26 + T27 + ... + T75.
  
  It is a happy number.
  
  The square root of 70225 is 265.
  
  It is a perfect power (a square), and thus also a powerful number.
  
  It can be written as a sum of positive squares in 4 ways, for example, as 529 + 69696 = 23^2 + 264^2 .
  
  It is not a de Polignac number, because 70225 - 21 = 70223 is a prime.
  
  It is a Duffinian number.
  
  It is a junction number, because it is equal to n+sod(n) for n = 70199 and 70208.
  
  It is not an unprimeable number, because it can be changed into a prime (70223) by changing a digit.
  
  It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1299 + ... + 1351.
  
  70225 is a Friedman number, since it can be written as (270-5)^2, using all its digits and the basic arithmetic operations.
  
  270225 is an apocalyptic number.
  
  70225 is the 265-th square number.
  
  70225 is the 133-rd centered octagonal number.
  
  It is an amenable number.
  
  70225 is a deficient number, since it is larger than the sum of its proper divisors (18528).
  
  70225 is an equidigital number, since it uses as much as digits as its factorization.
  
  70225 is an evil number, because the sum of its binary digits is even.
  
  The sum of its prime factors is 116 (or 58 counting only the distinct ones).
  
  The product of its (nonzero) digits is 140, while the sum is 16.
  
  The cubic root of 70225 is about 41.2569623999.
  
  The spelling of 70225 in words is "seventy thousand, two hundred twenty-five".
  
  Divisors: 1 5 25 53 265 1325 2809 14045 70225
explanation: The document provides a detailed mathematical analysis of the number 70225, including its properties, divisors, and various representations in different bases. It also mentions several interesting mathematical facts about the number, such as it being a perfect square and a Friedman number. However, it does not contain a specific question or a question-and-answer format.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Search a number
  70225 = 52532
  BaseRepresentation
  bin10001001001010001
  310120022221
  4101021101
  54221400
  61301041
  7411511
  oct211121
  9116287
  1070225
  1148841
  1234781
  1325c6c
  141b841
  1515c1a
  hex11251
  
  70225 has 9 divisors (see below), whose sum is σ = 88753. Its totient is φ = 55120.
  
  The previous prime is 70223. The next prime is 70229. The reversal of 70225 is 52207.
  
  Multipling 70225 by its sum of digits (16), we get a square (1123600 = 10602).
  
  It can be divided in two parts, 702 and 25, that added together give a palindrome (727).
  
  70225 = T26 + T27 + ... + T75.
  
  It is a happy number.
  
  The square root of 70225 is 265.
  
  It is a perfect power (a square), and thus also a powerful number.
  
  It can be written as a sum of positive squares in 4 ways, for example, as 529 + 69696 = 23^2 + 264^2 .
  
  It is not a de Polignac number, because 70225 - 21 = 70223 is a prime.
  
  It is a Duffinian number.
  
  It is a junction number, because it is equal to n+sod(n) for n = 70199 and 70208.
  
  It is not an unprimeable number, because it can be changed into a prime (70223) by changing a digit.
  
  It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1299 + ... + 1351.
  
  70225 is a Friedman number, since it can be written as (270-5)^2, using all its digits and the basic arithmetic operations.
  
  270225 is an apocalyptic number.
  
  70225 is the 265-th square number.
  
  70225 is the 133-rd centered octagonal number.
  
  It is an amenable number.
  
  70225 is a deficient number, since it is larger than the sum of its proper divisors (18528).
  
  70225 is an equidigital number, since it uses as much as digits as its factorization.
  
  70225 is an evil number, because the sum of its binary digits is even.
  
  The sum of its prime factors is 116 (or 58 counting only the distinct ones).
  
  The product of its (nonzero) digits is 140, while the sum is 16.
  
  The cubic root of 70225 is about 41.2569623999.
  
  The spelling of 70225 in words is "seventy thousand, two hundred twenty-five".
  
  Divisors: 1 5 25 53 265 1325 2809 14045 70225
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides a detailed mathematical analysis of the number 70225, including its properties, divisors, and various representations in different bases. It also mentions several interesting mathematical facts about the number, such as it being a perfect square and a Friedman number. However, it does not contain a specific question or a question-and-answer format.
  
  Label: no-question