221808264 has 32 divisors (see below), whose sum is σ = 557161440. Its totient is φ = 73584000.

The previous prime is 221808263. The next prime is 221808271. The reversal of 221808264 is 462808122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221808263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16837 + ... + 26964.

It is an arithmetic number, because the mean of its divisors is an integer number (17411295).

Almost surely, 2^221808264 is an apocalyptic number.

221808264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221808264 is an abundant number, since it is smaller than the sum of its proper divisors (335353176).

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

221808264 is a wasteful number, since it uses less digits than its factorization.

221808264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44021 (or 44017 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 221808264 is about 14893.2287970070. The cubic root of 221808264 is about 605.3305244920.

The spelling of 221808264 in words is "two hundred twenty-one million, eight hundred eight thousand, two hundred sixty-four".