22431052900 has 81 divisors (see below), whose sum is σ = 51765827617. Its totient is φ = 8435046400.

The previous prime is 22431052879. The next prime is 22431052913. The reversal of 22431052900 is 925013422.

The square root of 22431052900 is 149770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 15576537636 + 6854515264 = 124806^2 + 82792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25460460 + ... + 25461340.

Almost surely, 2^22431052900 is an apocalyptic number.

22431052900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22431052900 is the 149770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22431052900

22431052900 is an abundant number, since it is smaller than the sum of its proper divisors (29334774717).

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

22431052900 is an equidigital number, since it uses as much as digits as its factorization.

22431052900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 22431052900 in words is "twenty-two billion, four hundred thirty-one million, fifty-two thousand, nine hundred".