22200322400 has 72 divisors (see below), whose sum is σ = 54332475624. Its totient is φ = 8857856000.

The previous prime is 22200322393. The next prime is 22200322421. The reversal of 22200322400 is 422300222.

It is a congruent number.

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, 286199 + ... + 355401.

It is an arithmetic number, because the mean of its divisors is an integer number (754617717).

Almost surely, 2^22200322400 is an apocalyptic number.

22200322400 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 22200322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27166237812).

22200322400 is an abundant number, since it is smaller than the sum of its proper divisors (32132153224).

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

22200322400 is a wasteful number, since it uses less digits than its factorization.

22200322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69624 (or 69611 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 22200322400 its reverse (422300222), we get a palindrome (22622622622).

The spelling of 22200322400 in words is "twenty-two billion, two hundred million, three hundred twenty-two thousand, four hundred".