215200400 has 30 divisors (see below), whose sum is σ = 517019922. Its totient is φ = 86080000.

The previous prime is 215200373. The next prime is 215200411. The reversal of 215200400 is 4002512.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 215150224 = 224^2 + 14668^2 .

It is a super-2 number, since 2×215200400² = 92622424320320000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 268601 + ... + 269400.

Almost surely, 2^215200400 is an apocalyptic number.

215200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215200400 is an abundant number, since it is smaller than the sum of its proper divisors (301819522).

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

215200400 is a wasteful number, since it uses less digits than its factorization.

215200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538019 (or 538008 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 215200400 is about 14669.7102902545. The cubic root of 215200400 is about 599.2587141656.

Adding to 215200400 its reverse (4002512), we get a palindrome (219202912).

The spelling of 215200400 in words is "two hundred fifteen million, two hundred thousand, four hundred".