222086160 has 120 divisors (see below), whose sum is σ = 778325184. Its totient is φ = 56643840.

The previous prime is 222086107. The next prime is 222086203. The reversal of 222086160 is 61680222.

222086160 is a `hidden beast` number, since 22 + 20 + 8 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 9855 + ... + 23265.

Almost surely, 2^222086160 is an apocalyptic number.

222086160 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 222086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389162592).

222086160 is an abundant number, since it is smaller than the sum of its proper divisors (556239024).

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

222086160 is a wasteful number, since it uses less digits than its factorization.

222086160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13453 (or 13444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 222086160 is about 14902.5554855535. Note that the first 3 decimals coincide. The cubic root of 222086160 is about 605.5832183057.

The spelling of 222086160 in words is "two hundred twenty-two million, eighty-six thousand, one hundred sixty".