22315152400 has 60 divisors (see below), whose sum is σ = 53629231572. Its totient is φ = 8923217920.

The previous prime is 22315152397. The next prime is 22315152427. The reversal of 22315152400 is 425151322.

It can be written as a sum of positive squares in 6 ways, for example, as 8860080384 + 13455072016 = 94128^2 + 115996^2 .

It is a super-3 number, since 3×22315152400³ (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1622352 + ... + 1636048.

Almost surely, 2^22315152400 is an apocalyptic number.

22315152400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22315152400 is an abundant number, since it is smaller than the sum of its proper divisors (31314079172).

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

22315152400 is a wasteful number, since it uses less digits than its factorization.

22315152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17788 (or 17777 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 22315152400 in words is "twenty-two billion, three hundred fifteen million, one hundred fifty-two thousand, four hundred".