22581072900 has 81 divisors (see below), whose sum is σ = 70793251711. Its totient is φ = 6020417280.

The previous prime is 22581072883. The next prime is 22581072911. The reversal of 22581072900 is 927018522.

The square root of 22581072900 is 150270.

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

22581072900 is a `hidden beast` number, since 2 + 2 + 581 + 0 + 72 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 646278084 + 21934794816 = 25422^2 + 148104^2 .

It is a super-2 number, since 2×22581072900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4505596 + ... + 4510604.

Almost surely, 2^22581072900 is an apocalyptic number.

22581072900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22581072900 is the 150270-th square number.

It is an amenable number.

22581072900 is an abundant number, since it is smaller than the sum of its proper divisors (48212178811).

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

22581072900 is an equidigital number, since it uses as much as digits as its factorization.

22581072900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 22581072900 by its sum of digits (36), we get a square (812918624400 = 901620²).

22581072900 divided by its sum of digits (36) gives a square (627252025 = 25045²).

The spelling of 22581072900 in words is "twenty-two billion, five hundred eighty-one million, seventy-two thousand, nine hundred".