221679264 has 48 divisors (see below), whose sum is σ = 600687360. Its totient is φ = 71508480.

The previous prime is 221679257. The next prime is 221679287. The reversal of 221679264 is 462976122.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 34269 + ... + 40220.

It is an arithmetic number, because the mean of its divisors is an integer number (12514320).

Almost surely, 2^221679264 is an apocalyptic number.

221679264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221679264 is an abundant number, since it is smaller than the sum of its proper divisors (379008096).

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

221679264 is a wasteful number, since it uses less digits than its factorization.

221679264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74533 (or 74525 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 221679264 is about 14888.8973399644. The cubic root of 221679264 is about 605.2131516775.

The spelling of 221679264 in words is "two hundred twenty-one million, six hundred seventy-nine thousand, two hundred sixty-four".