22230100113200 has 240 divisors, whose sum is σ = 62469637401600. Its totient is φ = 7442990069760.

The previous prime is 22230100113191. The next prime is 22230100113233. The reversal of 22230100113200 is 231100103222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704203817 + ... + 704235383.

It is an arithmetic number, because the mean of its divisors is an integer number (260290155840).

Almost surely, 2^{22230100113200} is an apocalyptic number.

22230100113200 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 22230100113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31234818700800).

22230100113200 is an abundant number, since it is smaller than the sum of its proper divisors (40239537288400).

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

22230100113200 is a wasteful number, since it uses less digits than its factorization.

22230100113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37484 (or 37473 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22230100113200 its reverse (231100103222), we get a palindrome (22461200216422).

The spelling of 22230100113200 in words is "twenty-two trillion, two hundred thirty billion, one hundred million, one hundred thirteen thousand, two hundred".