14. If a positive integer, when divided by the sum of its digits, yields a remainder of 22, then this positive integer is called a "good number". The smallest good number is (
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689
【Answer】The minimum digit sum of this positive integer must be 23; at this point, the smallest number is $599; 599 \div 23=26 \ldots . . .1$; this does not meet the requirement; continue to check $689=23 \times 30-1$ which meets the requirement; and if the digit sum of the positive integer is greater than or equal to 24, it must be at least 699; therefore, 689 is the smallest good number