222382080 has 288 divisors, whose sum is σ = 817689600. Its totient is φ = 55738368.

The previous prime is 222382057. The next prime is 222382093. The reversal of 222382080 is 80283222.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750977 + ... + 1751103.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2^222382080 is an apocalyptic number.

222382080 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 222382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408844800).

222382080 is an abundant number, since it is smaller than the sum of its proper divisors (595307520).

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

222382080 is a wasteful number, since it uses less digits than its factorization.

222382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 222382080 is about 14912.4806789481. The cubic root of 222382080 is about 605.8520698945.

222382080 divided by its product of nonzero digits (3072) gives a triangular number (72390 = T₃₈₀).

The spelling of 222382080 in words is "two hundred twenty-two million, three hundred eighty-two thousand, eighty".