22556160 has 240 divisors, whose sum is σ = 86177520. Its totient is φ = 5406720.

The previous prime is 22556141. The next prime is 22556179. The reversal of 22556160 is 6165522.

It is an interprime number because it is at equal distance from previous prime (22556141) and next prime (22556179).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253396 + ... + 253484.

It is an arithmetic number, because the mean of its divisors is an integer number (359073).

Almost surely, 2^22556160 is an apocalyptic number.

22556160 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 22556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43088760).

22556160 is an abundant number, since it is smaller than the sum of its proper divisors (63621360).

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

22556160 is a wasteful number, since it uses less digits than its factorization.

22556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 22556160 is about 4749.3325846902. The cubic root of 22556160 is about 282.5454961053.

The spelling of 22556160 in words is "twenty-two million, five hundred fifty-six thousand, one hundred sixty".