215208900 has 135 divisors (see below), whose sum is σ = 701928381. Its totient is φ = 57036960.

The previous prime is 215208871. The next prime is 215208943. The reversal of 215208900 is 9802512.

The square root of 215208900 is 14670.

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

It can be written as a sum of positive squares in only one way, i.e., 77475204 + 137733696 = 8802^2 + 11736^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1320219 + ... + 1320381.

Almost surely, 2^215208900 is an apocalyptic number.

215208900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

215208900 is the 14670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215208900

215208900 is an abundant number, since it is smaller than the sum of its proper divisors (486719481).

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

215208900 is a wasteful number, since it uses less digits than its factorization.

215208900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 215208900 is about 599.2666039156.

The spelling of 215208900 in words is "two hundred fifteen million, two hundred eight thousand, nine hundred".