22210133200 has 60 divisors (see below), whose sum is σ = 54090872908. Its totient is φ = 8762342400.

The previous prime is 22210133177. The next prime is 22210133207. The reversal of 22210133200 is 233101222.

It can be written as a sum of positive squares in 6 ways, for example, as 1008443536 + 21201689664 = 31756^2 + 145608^2 .

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 (22210133207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 351111 + ... + 409510.

Almost surely, 2^22210133200 is an apocalyptic number.

22210133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210133200 is an abundant number, since it is smaller than the sum of its proper divisors (31880739708).

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

22210133200 is a wasteful number, since it uses less digits than its factorization.

22210133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760712 (or 760701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22210133200 its reverse (233101222), we get a palindrome (22443234422).

The spelling of 22210133200 in words is "twenty-two billion, two hundred ten million, one hundred thirty-three thousand, two hundred".