221476960 has 24 divisors (see below), whose sum is σ = 523239696. Its totient is φ = 88590720.

The previous prime is 221476943. The next prime is 221476967. The reversal of 221476960 is 69674122.

221476960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221476967) 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, 691956 + ... + 692275.

It is an arithmetic number, because the mean of its divisors is an integer number (21801654).

Almost surely, 2^221476960 is an apocalyptic number.

221476960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221476960 is an abundant number, since it is smaller than the sum of its proper divisors (301762736).

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

221476960 is a wasteful number, since it uses less digits than its factorization.

221476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384246 (or 1384238 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 221476960 is about 14882.1020020695. The cubic root of 221476960 is about 605.0289902553.

The spelling of 221476960 in words is "two hundred twenty-one million, four hundred seventy-six thousand, nine hundred sixty".