221361200 has 60 divisors (see below), whose sum is σ = 554965968. Its totient is φ = 84691200.

The previous prime is 221361197. The next prime is 221361227. The reversal of 221361200 is 2163122.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2831 + ... + 21230.

Almost surely, 2^221361200 is an apocalyptic number.

221361200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221361200 is an abundant number, since it is smaller than the sum of its proper divisors (333604768).

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

221361200 is a wasteful number, since it uses less digits than its factorization.

221361200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24102 (or 24091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 221361200 is about 14878.2122581982. The cubic root of 221361200 is about 604.9235611371.

The spelling of 221361200 in words is "two hundred twenty-one million, three hundred sixty-one thousand, two hundred".