221116900 has 27 divisors (see below), whose sum is σ = 480146569. Its totient is φ = 88387280.

The previous prime is 221116867. The next prime is 221116919. The reversal of 221116900 is 9611122.

The square root of 221116900 is 14870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79602084 + 141514816 = 8922^2 + 11896^2 .

It is a super-2 number, since 2×221116900² = 97785366931220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147957 + ... + 149443.

Almost surely, 2^221116900 is an apocalyptic number.

221116900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

221116900 is the 14870-th square number.

It is an amenable number.

221116900 is an abundant number, since it is smaller than the sum of its proper divisors (259029669).

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

221116900 is an equidigital number, since it uses as much as digits as its factorization.

221116900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The cubic root of 221116900 is about 604.7009427423.

The spelling of 221116900 in words is "two hundred twenty-one million, one hundred sixteen thousand, nine hundred".