22087904400 has 135 divisors (see below), whose sum is σ = 76682121451. Its totient is φ = 5887729920.

The previous prime is 22087904357. The next prime is 22087904417. The reversal of 22087904400 is 440978022.

The square root of 22087904400 is 148620.

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

22087904400 is a `hidden beast` number, since 2 + 208 + 7 + 9 + 0 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 429484176 + 21658420224 = 20724^2 + 147168^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8915962 + ... + 8918438.

Almost surely, 2^22087904400 is an apocalyptic number.

22087904400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22087904400 is the 148620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22087904400

22087904400 is an abundant number, since it is smaller than the sum of its proper divisors (54594217051).

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

22087904400 is an equidigital number, since it uses as much as digits as its factorization.

22087904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 22087904400 by its sum of digits (36), we get a square (795164558400 = 891720²).

22087904400 divided by its sum of digits (36) gives a square (613552900 = 24770²).

The spelling of 22087904400 in words is "twenty-two billion, eighty-seven million, nine hundred four thousand, four hundred".