222806160 has 320 divisors, whose sum is σ = 830304000. Its totient is φ = 54743040.

The previous prime is 222806153. The next prime is 222806161. The reversal of 222806160 is 61608222.

222806160 is a `hidden beast` number, since 22 + 28 + 0 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (222806161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2503396 + ... + 2503484.

It is an arithmetic number, because the mean of its divisors is an integer number (2594700).

Almost surely, 2^222806160 is an apocalyptic number.

222806160 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 222806160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415152000).

222806160 is an abundant number, since it is smaller than the sum of its proper divisors (607497840).

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

222806160 is a wasteful number, since it uses less digits than its factorization.

222806160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

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

The square root of 222806160 is about 14926.6928688173. The cubic root of 222806160 is about 606.2369429292.

The spelling of 222806160 in words is "two hundred twenty-two million, eight hundred six thousand, one hundred sixty".