220177164 has 36 divisors (see below), whose sum is σ = 532097384. Its totient is φ = 70858368.

The previous prime is 220177141. The next prime is 220177201. The reversal of 220177164 is 461771022.

220177164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 817 + ... + 21000.

Almost surely, 2^220177164 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 220177164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266048692).

220177164 is an abundant number, since it is smaller than the sum of its proper divisors (311920220).

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

220177164 is a wasteful number, since it uses less digits than its factorization.

220177164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21882 (or 21851 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 220177164 is about 14838.3679695578. The cubic root of 220177164 is about 603.8430764946.

The spelling of 220177164 in words is "two hundred twenty million, one hundred seventy-seven thousand, one hundred sixty-four".