22504003200 has 960 divisors, whose sum is σ = 96721785600. Its totient is φ = 5046312960.

The previous prime is 22504003187. The next prime is 22504003231. The reversal of 22504003200 is 230040522.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×22504003200² (a number of 22 digits) contains 22 as substring.

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

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, 143337522 + ... + 143337678.

It is an arithmetic number, because the mean of its divisors is an integer number (100751860).

Almost surely, 2^22504003200 is an apocalyptic number.

22504003200 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 22504003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360892800).

22504003200 is an abundant number, since it is smaller than the sum of its proper divisors (74217782400).

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

22504003200 is a wasteful number, since it uses less digits than its factorization.

22504003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 22504003200 its reverse (230040522), we get a palindrome (22734043722).

The spelling of 22504003200 in words is "twenty-two billion, five hundred four million, three thousand, two hundred".