22200204400 has 240 divisors, whose sum is σ = 60203959200. Its totient is φ = 7796736000.

The previous prime is 22200204347. The next prime is 22200204401. The reversal of 22200204400 is 440200222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200204401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19663036 + ... + 19664164.

It is an arithmetic number, because the mean of its divisors is an integer number (250849830).

Almost surely, 2^22200204400 is an apocalyptic number.

22200204400 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 22200204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30101979600).

22200204400 is an abundant number, since it is smaller than the sum of its proper divisors (38003754800).

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

22200204400 is a wasteful number, since it uses less digits than its factorization.

22200204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22200204400 its reverse (440200222), we get a palindrome (22640404622).

The spelling of 22200204400 in words is "twenty-two billion, two hundred million, two hundred four thousand, four hundred".