214916200 has 24 divisors (see below), whose sum is σ = 499680630. Its totient is φ = 85966400.

The previous prime is 214916197. The next prime is 214916213. The reversal of 214916200 is 2619412.

It can be written as a sum of positive squares in 3 ways, for example, as 94750756 + 120165444 = 9734^2 + 10962^2 .

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 5 ways as a sum of consecutive naturals, for example, 537091 + ... + 537490.

Almost surely, 2^214916200 is an apocalyptic number.

214916200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214916200 is an abundant number, since it is smaller than the sum of its proper divisors (284764430).

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

214916200 is a wasteful number, since it uses less digits than its factorization.

214916200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074597 (or 1074588 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 214916200 is about 14660.0204638329. The cubic root of 214916200 is about 598.9947983714.

The spelling of 214916200 in words is "two hundred fourteen million, nine hundred sixteen thousand, two hundred".