221362320 has 80 divisors (see below), whose sum is σ = 708383232. Its totient is φ = 57123840.

The previous prime is 221362303. The next prime is 221362333. The reversal of 221362320 is 23263122.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7437 + ... + 22316.

Almost surely, 2^221362320 is an apocalyptic number.

221362320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221362320 is an abundant number, since it is smaller than the sum of its proper divisors (487020912).

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

221362320 is a wasteful number, since it uses less digits than its factorization.

221362320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29800 (or 29794 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 221362320 is about 14878.2498970813. The cubic root of 221362320 is about 604.9245813599.

The spelling of 221362320 in words is "two hundred twenty-one million, three hundred sixty-two thousand, three hundred twenty".