22336

22336 is a positive integer. Its prime factorization is 2^6 × 349, where 349 is a prime number. Therefore, 22336 is the product of a power of two and a prime.

The positive divisors of 22336 are: 1, 2, 4, 8, 16, 32, 64, 349, 698, 1396, 2792, 5584, 11168, and 22336.

The sum of all divisors of 22336 is 44,450, so the sum of proper divisors is 22,114. Because 22,114 is less than 22,336, 22336 is a deficient number.

As an even number, 22336 is divisible by 2 and by 64 (since 22336 ÷ 64 = 349). It is not divisible by 3 or 5. The number’s structure, combining a power of two with a prime, influences its divisor count and arithmetic properties: it has 14 positive divisors, corresponding to the exponents in its factorization (6 for the power of two and 1 for the prime).