22200255168 has 224 divisors, whose sum is σ = 73771353600. Its totient is φ = 5854786560.

The previous prime is 22200255163. The next prime is 22200255169. The reversal of 22200255168 is 86155200222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (22200255163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843163 + ... + 869093.

It is an arithmetic number, because the mean of its divisors is an integer number (329336400).

Almost surely, 2^22200255168 is an apocalyptic number.

22200255168 is a gapful number since it is divisible by the number (28) 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 22200255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36885676800).

22200255168 is an abundant number, since it is smaller than the sum of its proper divisors (51571098432).

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

22200255168 is a wasteful number, since it uses less digits than its factorization.

22200255168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25980 (or 25956 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 22200255168 in words is "twenty-two billion, two hundred million, two hundred fifty-five thousand, one hundred sixty-eight".