22568030400 has 336 divisors, whose sum is σ = 78858550944. Its totient is φ = 5630853120.

The previous prime is 22568030369. The next prime is 22568030509. The reversal of 22568030400 is 403086522.

It is a super-2 number, since 2×22568030400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15748084 + ... + 15749516.

Almost surely, 2^22568030400 is an apocalyptic number.

22568030400 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 22568030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39429275472).

22568030400 is an abundant number, since it is smaller than the sum of its proper divisors (56290520544).

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

22568030400 is a wasteful number, since it uses less digits than its factorization.

22568030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 22568030400 in words is "twenty-two billion, five hundred sixty-eight million, thirty thousand, four hundred".