
    Develop a function to identify and sum all pairs of hospital units where the sum of divisors of one unit's bed count equals the other unit's bed count (and vice versa), analyzing units from 1 to the maximum hospital capacity limit. This relationship analysis helps optimize bed allocation between interconnected departments for efficient patient flow management.
    

    
def amicable_numbers_sum(limit):
    """
    Develop a function to identify and sum all pairs of hospital units where the sum of divisors of one unit's bed count equals the other unit's bed count (and vice versa), analyzing units from 1 to the maximum hospital capacity limit. This relationship analysis helps optimize bed allocation between interconnected departments for efficient patient flow management.
    

    """
def amicable_numbers_sum(limit):
    """
    Develop a function to identify and sum all pairs of hospital units where the sum of divisors of one unit's bed count equals the other unit's bed count (and vice versa), analyzing units from 1 to the maximum hospital capacity limit. This relationship analysis helps optimize bed allocation between interconnected departments for efficient patient flow management.
    

    """
    if not isinstance(limit, int):
        return 'Input is not an integer!'
    if limit < 1:
        return 'Input must be bigger than 0!'
    amicables = set()
    for num in range(2, limit + 1):
        if num in amicables:
            continue
        sum_fact = sum([fact for fact in range(1, num) if num % fact == 0])
        sum_fact2 = sum([fact for fact in range(1, sum_fact) if sum_fact % fact == 0])
        if num == sum_fact2 and num != sum_fact:
            amicables.add(num)
            amicables.add(sum_fact2)
    return sum(amicables)