222262560 has 288 divisors, whose sum is σ = 845365248. Its totient is φ = 52807680.

The previous prime is 222262553. The next prime is 222262561. The reversal of 222262560 is 65262222.

222262560 is a `hidden beast` number, since 22 + 22 + 62 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (222262561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580129 + ... + 580511.

It is an arithmetic number, because the mean of its divisors is an integer number (2935296).

Almost surely, 2^222262560 is an apocalyptic number.

222262560 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 222262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422682624).

222262560 is an abundant number, since it is smaller than the sum of its proper divisors (623102688).

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

222262560 is a wasteful number, since it uses less digits than its factorization.

222262560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 222262560 is about 14908.4727588040. The cubic root of 222262560 is about 605.7435113634.

The spelling of 222262560 in words is "two hundred twenty-two million, two hundred sixty-two thousand, five hundred sixty".