22210113200 has 240 divisors, whose sum is σ = 59848312320. Its totient is φ = 7851648000.

The previous prime is 22210113197. The next prime is 22210113227. The reversal of 22210113200 is 231101222.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43634546 + ... + 43635054.

It is an arithmetic number, because the mean of its divisors is an integer number (249367968).

Almost surely, 2^22210113200 is an apocalyptic number.

22210113200 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 22210113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29924156160).

22210113200 is an abundant number, since it is smaller than the sum of its proper divisors (37638199120).

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

22210113200 is a wasteful number, since it uses less digits than its factorization.

22210113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22210113200 its reverse (231101222), we get a palindrome (22441214422).

The spelling of 22210113200 in words is "twenty-two billion, two hundred ten million, one hundred thirteen thousand, two hundred".