221882680 has 32 divisors (see below), whose sum is σ = 501436800. Its totient is φ = 88361856.

The previous prime is 221882669. The next prime is 221882729. The reversal of 221882680 is 86288122.

221882680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2952 + ... + 21271.

It is an arithmetic number, because the mean of its divisors is an integer number (15669900).

Almost surely, 2^221882680 is an apocalyptic number.

221882680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221882680 is an abundant number, since it is smaller than the sum of its proper divisors (279554120).

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

221882680 is a wasteful number, since it uses less digits than its factorization.

221882680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24463 (or 24459 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 221882680 is about 14895.7269040487. The cubic root of 221882680 is about 605.3982124414.

The spelling of 221882680 in words is "two hundred twenty-one million, eight hundred eighty-two thousand, six hundred eighty".