22202200220200 has 576 divisors, whose sum is σ = 69740104204800. Its totient is φ = 6383157580800.

The previous prime is 22202200220177. The next prime is 22202200220227. The reversal of 22202200220200 is 202200220222.

It is a happy number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 5213005671 + ... + 5213009929.

It is an arithmetic number, because the mean of its divisors is an integer number (121076569800).

Almost surely, 2^{22202200220200} is an apocalyptic number.

22202200220200 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 22202200220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34870052102400).

22202200220200 is an abundant number, since it is smaller than the sum of its proper divisors (47537903984600).

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

22202200220200 is a wasteful number, since it uses less digits than its factorization.

22202200220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322 (or 6300 counting only the distinct ones).

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

Adding to 22202200220200 its reverse (202200220222), we get a palindrome (22404400440422).

The spelling of 22202200220200 in words is "twenty-two trillion, two hundred two billion, two hundred million, two hundred twenty thousand, two hundred".