218104200 has 72 divisors (see below), whose sum is σ = 732472650. Its totient is φ = 58160640.

The previous prime is 218104181. The next prime is 218104223. The reversal of 218104200 is 2401812.

It can be written as a sum of positive squares in 3 ways, for example, as 159213924 + 58890276 = 12618^2 + 7674^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58785 + ... + 62384.

Almost surely, 2^218104200 is an apocalyptic number.

218104200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218104200 is an abundant number, since it is smaller than the sum of its proper divisors (514368450).

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

218104200 is a wasteful number, since it uses less digits than its factorization.

218104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121191 (or 121179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 218104200 is about 14768.3512959301. The cubic root of 218104200 is about 601.9420406814.

The spelling of 218104200 in words is "two hundred eighteen million, one hundred four thousand, two hundred".