214992900 has 72 divisors (see below), whose sum is σ = 691171040. Its totient is φ = 57330720.

The previous prime is 214992893. The next prime is 214992907. The reversal of 214992900 is 9299412.

It is an interprime number because it is at equal distance from previous prime (214992893) and next prime (214992907).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214992907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37114 + ... + 42513.

Almost surely, 2^214992900 is an apocalyptic number.

214992900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214992900 is an abundant number, since it is smaller than the sum of its proper divisors (476178140).

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

214992900 is a wasteful number, since it uses less digits than its factorization.

214992900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79650 (or 79637 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 214992900 is about 14662.6361886258. The cubic root of 214992900 is about 599.0660469739.

The spelling of 214992900 in words is "two hundred fourteen million, nine hundred ninety-two thousand, nine hundred".