22140023200 has 144 divisors (see below), whose sum is σ = 55098973440. Its totient is φ = 8684928000.

The previous prime is 22140023179. The next prime is 22140023263. The reversal of 22140023200 is 232004122.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 30792441 + ... + 30793159.

It is an arithmetic number, because the mean of its divisors is an integer number (382631760).

Almost surely, 2^22140023200 is an apocalyptic number.

22140023200 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 22140023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27549486720).

22140023200 is an abundant number, since it is smaller than the sum of its proper divisors (32958950240).

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

22140023200 is a wasteful number, since it uses less digits than its factorization.

22140023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22140023200 its reverse (232004122), we get a palindrome (22372027322).

The spelling of 22140023200 in words is "twenty-two billion, one hundred forty million, twenty-three thousand, two hundred".