22656040 has 96 divisors (see below), whose sum is σ = 58222080. Its totient is φ = 7920000.

The previous prime is 22656031. The next prime is 22656041. The reversal of 22656040 is 4065622.

It is a super-2 number, since 2×22656040² = 1026592296963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22655996 and 22656014.

It is not an unprimeable number, because it can be changed into a prime (22656041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149965 + ... + 150115.

It is an arithmetic number, because the mean of its divisors is an integer number (606480).

Almost surely, 2^22656040 is an apocalyptic number.

22656040 is a gapful number since it is divisible by the number (20) 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 22656040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29111040).

22656040 is an abundant number, since it is smaller than the sum of its proper divisors (35566040).

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

22656040 is a wasteful number, since it uses less digits than its factorization.

22656040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 22656040 is about 4759.8361316331. The cubic root of 22656040 is about 282.9619247306.

The spelling of 22656040 in words is "twenty-two million, six hundred fifty-six thousand, forty".