22200960 has 128 divisors (see below), whose sum is σ = 73244160. Its totient is φ = 5713920.

The previous prime is 22200947. The next prime is 22201001. The reversal of 22200960 is 6900222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59334 + ... + 59706.

It is an arithmetic number, because the mean of its divisors is an integer number (572220).

Almost surely, 2^22200960 is an apocalyptic number.

22200960 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 22200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36622080).

22200960 is an abundant number, since it is smaller than the sum of its proper divisors (51043200).

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

22200960 is a wasteful number, since it uses less digits than its factorization.

22200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 22200960 is about 4711.7894689810. The cubic root of 22200960 is about 281.0545268907.

The spelling of 22200960 in words is "twenty-two million, two hundred thousand, nine hundred sixty".