22232113200 has 240 divisors, whose sum is σ = 86323939200. Its totient is φ = 5389574400.

The previous prime is 22232113193. The next prime is 22232113201. The reversal of 22232113200 is 231123222.

22232113200 is a `hidden beast` number, since 2 + 22 + 321 + 1 + 320 + 0 = 666.

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

It is a super-2 number, since 2×22232113200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22232113201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25231 + ... + 212369.

It is an arithmetic number, because the mean of its divisors is an integer number (359683080).

Almost surely, 2^22232113200 is an apocalyptic number.

22232113200 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 22232113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43161969600).

22232113200 is an abundant number, since it is smaller than the sum of its proper divisors (64091826000).

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

22232113200 is a wasteful number, since it uses less digits than its factorization.

22232113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187177 (or 187160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22232113200 its reverse (231123222), we get a palindrome (22463236422).

The spelling of 22232113200 in words is "twenty-two billion, two hundred thirty-two million, one hundred thirteen thousand, two hundred".