221253312 has 56 divisors (see below), whose sum is σ = 669031936. Its totient is φ = 63214848.

The previous prime is 221253301. The next prime is 221253337. The reversal of 221253312 is 213352122.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80968 + ... + 83655.

Almost surely, 2^221253312 is an apocalyptic number.

It is an amenable number.

221253312 is an abundant number, since it is smaller than the sum of its proper divisors (447778624).

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

221253312 is a wasteful number, since it uses less digits than its factorization.

221253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164645 (or 164635 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 221253312 is about 14874.5861118890. The cubic root of 221253312 is about 604.8252683936.

The spelling of 221253312 in words is "two hundred twenty-one million, two hundred fifty-three thousand, three hundred twelve".