22824256 has 56 divisors (see below), whose sum is σ = 55758080. Its totient is φ = 9027072.

The previous prime is 22824239. The next prime is 22824289. The reversal of 22824256 is 65242822.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3865 + ... + 7783.

It is an arithmetic number, because the mean of its divisors is an integer number (995680).

Almost surely, 2^22824256 is an apocalyptic number.

22824256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27879040).

22824256 is an abundant number, since it is smaller than the sum of its proper divisors (32933824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22824256 is a wasteful number, since it uses less digits than its factorization.

22824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3941 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 22824256 is about 4777.4738094520. The cubic root of 22824256 is about 283.6605081751.

The spelling of 22824256 in words is "twenty-two million, eight hundred twenty-four thousand, two hundred fifty-six".