218900 has 36 divisors (see below), whose sum is σ = 520800. Its totient is φ = 79200.

The previous prime is 218887. The next prime is 218923. The reversal of 218900 is 9812.

218900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1001 + ... + 1199.

2²¹⁸⁹⁰⁰ is an apocalyptic number.

218900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

218900 is an abundant number, since it is smaller than the sum of its proper divisors (301900).

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

218900 is a wasteful number, since it uses less digits than its factorization.

218900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 218900 is about 467.8675026116. The cubic root of 218900 is about 60.2673256991.

The spelling of 218900 in words is "two hundred eighteen thousand, nine hundred".