221456800 has 36 divisors (see below), whose sum is σ = 540633366. Its totient is φ = 88582400.

The previous prime is 221456749. The next prime is 221456819. The reversal of 221456800 is 8654122.

It can be written as a sum of positive squares in 3 ways, for example, as 123921424 + 97535376 = 11132^2 + 9876^2 .

It is a super-2 number, since 2×221456800² = 98086228532480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 137611 + ... + 139210.

Almost surely, 2^221456800 is an apocalyptic number.

221456800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221456800 is an abundant number, since it is smaller than the sum of its proper divisors (319176566).

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

221456800 is a wasteful number, since it uses less digits than its factorization.

221456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276841 (or 276828 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 221456800 is about 14881.4246629817. The cubic root of 221456800 is about 605.0106320559.

The spelling of 221456800 in words is "two hundred twenty-one million, four hundred fifty-six thousand, eight hundred".