22932252800 has 72 divisors (see below), whose sum is σ = 56671000335. Its totient is φ = 9169474560.

The previous prime is 22932252797. The next prime is 22932252839. The reversal of 22932252800 is 825223922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 602176 + 22931650624 = 776^2 + 151432^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=107080.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8565062 + ... + 8567738.

Almost surely, 2^22932252800 is an apocalyptic number.

22932252800 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 22932252800

22932252800 is an abundant number, since it is smaller than the sum of its proper divisors (33738747535).

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

22932252800 is an frugal number, since it uses more digits than its factorization.

22932252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 22932252800 in words is "twenty-two billion, nine hundred thirty-two million, two hundred fifty-two thousand, eight hundred".