220978304 has 32 divisors (see below), whose sum is σ = 444614940. Its totient is φ = 109388800.

The previous prime is 220978301. The next prime is 220978309. The reversal of 220978304 is 403879022.

It can be written as a sum of positive squares in 2 ways, for example, as 199374400 + 21603904 = 14120^2 + 4648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (220978301) 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 3 ways as a sum of consecutive naturals, for example, 4382 + ... + 21474.

Almost surely, 2^220978304 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 220978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222307470).

220978304 is an abundant number, since it is smaller than the sum of its proper divisors (223636636).

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

220978304 is a wasteful number, since it uses less digits than its factorization.

220978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17208 (or 17196 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 220978304 is about 14865.3390139613. The cubic root of 220978304 is about 604.5745742189.

The spelling of 220978304 in words is "two hundred twenty million, nine hundred seventy-eight thousand, three hundred four".