222082560 has 560 divisors, whose sum is σ = 966072096. Its totient is φ = 47775744.

The previous prime is 222082559. The next prime is 222082613. The reversal of 222082560 is 65280222.

222082560 is a `hidden beast` number, since 2 + 2 + 20 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063672 + ... + 13063688.

Almost surely, 2^222082560 is an apocalyptic number.

222082560 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 222082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483036048).

222082560 is an abundant number, since it is smaller than the sum of its proper divisors (743989536).

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

222082560 is an frugal number, since it uses more digits than its factorization.

222082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 222082560 is about 14902.4347004105. The cubic root of 222082560 is about 605.5799461351.

The spelling of 222082560 in words is "two hundred twenty-two million, eighty-two thousand, five hundred sixty".