218890900 has 18 divisors (see below), whose sum is σ = 474993470. Its totient is φ = 87556320.

The previous prime is 218890897. The next prime is 218890921. The reversal of 218890900 is 9098812.

It can be written as a sum of positive squares in 3 ways, for example, as 6081156 + 212809744 = 2466^2 + 14588^2 .

It is a super-2 number, since 2×218890900² = 95826452205620000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 218890900.

It is a congruent number.

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, 1094355 + ... + 1094554.

Almost surely, 2^218890900 is an apocalyptic number.

218890900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218890900 is an abundant number, since it is smaller than the sum of its proper divisors (256102570).

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

218890900 is a wasteful number, since it uses less digits than its factorization.

218890900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188923 (or 2188916 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 218890900 is about 14794.9619803499. The cubic root of 218890900 is about 602.6649055332.

The spelling of 218890900 in words is "two hundred eighteen million, eight hundred ninety thousand, nine hundred".