220385172 has 96 divisors (see below), whose sum is σ = 630024192. Its totient is φ = 58582656.

The previous prime is 220385171. The next prime is 220385213. The reversal of 220385172 is 271583022.

220385172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220385171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69943 + ... + 73025.

It is an arithmetic number, because the mean of its divisors is an integer number (6562752).

Almost surely, 2^220385172 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 220385172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315012096).

220385172 is an abundant number, since it is smaller than the sum of its proper divisors (409639020).

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

220385172 is a wasteful number, since it uses less digits than its factorization.

220385172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 220385172 is about 14845.3754415306. The cubic root of 220385172 is about 604.0331728926.

The spelling of 220385172 in words is "two hundred twenty million, three hundred eighty-five thousand, one hundred seventy-two".