220929264 has 60 divisors (see below), whose sum is σ = 650845000. Its totient is φ = 69766272.

The previous prime is 220929259. The next prime is 220929271. The reversal of 220929264 is 462929022.

It is a happy number.

220929264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 37639 + ... + 43110.

Almost surely, 2^220929264 is an apocalyptic number.

220929264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220929264 is an abundant number, since it is smaller than the sum of its proper divisors (429915736).

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

220929264 is a wasteful number, since it uses less digits than its factorization.

220929264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80782 (or 80773 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 220929264 is about 14863.6894477784. The cubic root of 220929264 is about 604.5298480624.

The spelling of 220929264 in words is "two hundred twenty million, nine hundred twenty-nine thousand, two hundred sixty-four".