220958304 has 96 divisors (see below), whose sum is σ = 674231040. Its totient is φ = 62049792.

The previous prime is 220958303. The next prime is 220958321. The reversal of 220958304 is 403859022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220958303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36862 + ... + 42434.

It is an arithmetic number, because the mean of its divisors is an integer number (7023240).

Almost surely, 2^220958304 is an apocalyptic number.

220958304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220958304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337115520).

220958304 is an abundant number, since it is smaller than the sum of its proper divisors (453272736).

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

220958304 is a wasteful number, since it uses less digits than its factorization.

220958304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 220958304 is about 14864.6662929243. Note that the first 3 decimals coincide. The cubic root of 220958304 is about 604.5563343343.

The spelling of 220958304 in words is "two hundred twenty million, nine hundred fifty-eight thousand, three hundred four".