22513431200 has 144 divisors (see below), whose sum is σ = 59420946816. Its totient is φ = 8280038400.

The previous prime is 22513431169. The next prime is 22513431203. The reversal of 22513431200 is 213431522.

It is not an unprimeable number, because it can be changed into a prime (22513431203) 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 23 ways as a sum of consecutive naturals, for example, 2731085 + ... + 2739315.

It is an arithmetic number, because the mean of its divisors is an integer number (412645464).

Almost surely, 2^22513431200 is an apocalyptic number.

22513431200 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 22513431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29710473408).

22513431200 is an abundant number, since it is smaller than the sum of its proper divisors (36907515616).

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

22513431200 is a wasteful number, since it uses less digits than its factorization.

22513431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8527 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 22513431200 its reverse (213431522), we get a palindrome (22726862722).

The spelling of 22513431200 in words is "twenty-two billion, five hundred thirteen million, four hundred thirty-one thousand, two hundred".