218833164 has 144 divisors (see below), whose sum is σ = 635246976. Its totient is φ = 65318400.

The previous prime is 218833157. The next prime is 218833211. The reversal of 218833164 is 461338812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037019 + ... + 1037229.

Almost surely, 2^218833164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218833164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317623488).

218833164 is an abundant number, since it is smaller than the sum of its proper divisors (416413812).

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

218833164 is a wasteful number, since it uses less digits than its factorization.

218833164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 218833164 is about 14793.0106469238. The cubic root of 218833164 is about 602.6119133490.

The spelling of 218833164 in words is "two hundred eighteen million, eight hundred thirty-three thousand, one hundred sixty-four".