221882880 has 160 divisors (see below), whose sum is σ = 717704064. Its totient is φ = 58474496.

The previous prime is 221882867. The next prime is 221882891. The reversal of 221882880 is 88288122.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1282474 + ... + 1282646.

Almost surely, 2^221882880 is an apocalyptic number.

221882880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358852032).

221882880 is an abundant number, since it is smaller than the sum of its proper divisors (495821184).

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

221882880 is a wasteful number, since it uses less digits than its factorization.

221882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 221882880 is about 14895.7336173819. The cubic root of 221882880 is about 605.3983943387.

The spelling of 221882880 in words is "two hundred twenty-one million, eight hundred eighty-two thousand, eight hundred eighty".