22256256 has 96 divisors (see below), whose sum is σ = 65116800. Its totient is φ = 6730240.

The previous prime is 22256251. The next prime is 22256287. The reversal of 22256256 is 65265222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22256256² = 990681862275072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22256251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46225 + ... + 46703.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 2^22256256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32558400).

22256256 is an abundant number, since it is smaller than the sum of its proper divisors (42860544).

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

22256256 is a wasteful number, since it uses less digits than its factorization.

22256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 495 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 22256256 is about 4717.6536540954. The cubic root of 22256256 is about 281.2876745581.

The spelling of 22256256 in words is "twenty-two million, two hundred fifty-six thousand, two hundred fifty-six".