218200 has 24 divisors (see below), whose sum is σ = 507780. Its totient is φ = 87200.

The previous prime is 218191. The next prime is 218213. The reversal of 218200 is 2812.

218200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×218200² = 95222480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

218200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346 + ... + 745.

2²¹⁸²⁰⁰ is an apocalyptic number.

218200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218200 is an abundant number, since it is smaller than the sum of its proper divisors (289580).

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

218200 is a wasteful number, since it uses less digits than its factorization.

218200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 218200 is about 467.1188285651. The cubic root of 218200 is about 60.2030160040.

The spelling of 218200 in words is "two hundred eighteen thousand, two hundred".