22315600400 has 30 divisors (see below), whose sum is σ = 53613230922. Its totient is φ = 8926240000.

The previous prime is 22315600379. The next prime is 22315600441. The reversal of 22315600400 is 400651322.

It can be written as a sum of positive squares in 3 ways, for example, as 887324944 + 21428275456 = 29788^2 + 146384^2 .

It is a super-3 number, since 3×22315600400³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27894101 + ... + 27894900.

Almost surely, 2^22315600400 is an apocalyptic number.

22315600400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22315600400 is an abundant number, since it is smaller than the sum of its proper divisors (31297630522).

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

22315600400 is a wasteful number, since it uses less digits than its factorization.

22315600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55789019 (or 55789008 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The spelling of 22315600400 in words is "twenty-two billion, three hundred fifteen million, six hundred thousand, four hundred".