22320413200 has 60 divisors (see below), whose sum is σ = 53921237188. Its totient is φ = 8878809600.

The previous prime is 22320413189. The next prime is 22320413263. The reversal of 22320413200 is 231402322.

It can be written as a sum of positive squares in 6 ways, for example, as 12609493264 + 9710919936 = 112292^2 + 98544^2 .

It is a super-3 number, since 3×22320413200³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81747 + ... + 226546.

Almost surely, 2^22320413200 is an apocalyptic number.

22320413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320413200 is an abundant number, since it is smaller than the sum of its proper divisors (31600823988).

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

22320413200 is a wasteful number, since it uses less digits than its factorization.

22320413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308492 (or 308481 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 22320413200 its reverse (231402322), we get a palindrome (22551815522).

The spelling of 22320413200 in words is "twenty-two billion, three hundred twenty million, four hundred thirteen thousand, two hundred".