22521004900 has 81 divisors (see below), whose sum is σ = 50177309931. Its totient is φ = 8773692480.

The previous prime is 22521004897. The next prime is 22521004901. The reversal of 22521004900 is 940012522.

The square root of 22521004900 is 150070.

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

It can be written as a sum of positive squares in 4 ways, for example, as 231709284 + 22289295616 = 15222^2 + 149296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22521004901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64529926 + ... + 64530274.

Almost surely, 2^22521004900 is an apocalyptic number.

22521004900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22521004900 is the 150070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22521004900

22521004900 is an abundant number, since it is smaller than the sum of its proper divisors (27656305031).

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

22521004900 is an equidigital number, since it uses as much as digits as its factorization.

22521004900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 22521004900 by its sum of digits (25), we get a square (563025122500 = 750350²).

22521004900 divided by its sum of digits (25) gives a square (900840196 = 30014²).

The spelling of 22521004900 in words is "twenty-two billion, five hundred twenty-one million, four thousand, nine hundred".