22264162200 has 480 divisors, whose sum is σ = 93579948000. Its totient is φ = 4789186560.

The previous prime is 22264162187. The next prime is 22264162253. The reversal of 22264162200 is 226146222.

It is a happy number.

22264162200 is a `hidden beast` number, since 2 + 2 + 26 + 416 + 220 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 1922026 + ... + 1933574.

It is an arithmetic number, because the mean of its divisors is an integer number (194958225).

Almost surely, 2^22264162200 is an apocalyptic number.

22264162200 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 22264162200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46789974000).

22264162200 is an abundant number, since it is smaller than the sum of its proper divisors (71315785800).

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

22264162200 is a wasteful number, since it uses less digits than its factorization.

22264162200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11601 (or 11583 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 22264162200 in words is "twenty-two billion, two hundred sixty-four million, one hundred sixty-two thousand, two hundred".