22204344340200 has 768 divisors, whose sum is σ = 77775593472000. Its totient is φ = 5193107251200.

The previous prime is 22204344340159. The next prime is 22204344340201. The reversal of 22204344340200 is 204344340222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22204344340201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18612190804 + ... + 18612191996.

It is an arithmetic number, because the mean of its divisors is an integer number (101270304000).

Almost surely, 2^{22204344340200} is an apocalyptic number.

22204344340200 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 22204344340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38887796736000).

22204344340200 is an abundant number, since it is smaller than the sum of its proper divisors (55571249131800).

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

22204344340200 is a wasteful number, since it uses less digits than its factorization.

22204344340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 22204344340200 its reverse (204344340222), we get a palindrome (22408688680422).

The spelling of 22204344340200 in words is "twenty-two trillion, two hundred four billion, three hundred forty-four million, three hundred forty thousand, two hundred".