221332968 has 48 divisors (see below), whose sum is σ = 601099200. Its totient is φ = 73573920.

The previous prime is 221332939. The next prime is 221332981. The reversal of 221332968 is 869233122.

221332968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23233 + ... + 31343.

It is an arithmetic number, because the mean of its divisors is an integer number (12522900).

Almost surely, 2^221332968 is an apocalyptic number.

It is an amenable number.

221332968 is an abundant number, since it is smaller than the sum of its proper divisors (379766232).

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

221332968 is a wasteful number, since it uses less digits than its factorization.

221332968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 8495 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 221332968 is about 14877.2634580423. The cubic root of 221332968 is about 604.8978430978.

The spelling of 221332968 in words is "two hundred twenty-one million, three hundred thirty-two thousand, nine hundred sixty-eight".