221457152 has 36 divisors (see below), whose sum is σ = 505203216. Its totient is φ = 94909440.

The previous prime is 221457143. The next prime is 221457193. The reversal of 221457152 is 251754122.

It is a happy number.

It is a super-2 number, since 2×221457152² = 98086540343902208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59999 + ... + 63582.

Almost surely, 2^221457152 is an apocalyptic number.

It is an amenable number.

221457152 is an abundant number, since it is smaller than the sum of its proper divisors (283746064).

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

221457152 is an equidigital number, since it uses as much as digits as its factorization.

221457152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123604 (or 123590 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 221457152 is about 14881.4364898016. The cubic root of 221457152 is about 605.0109526055.

The spelling of 221457152 in words is "two hundred twenty-one million, four hundred fifty-seven thousand, one hundred fifty-two".