22104345200 has 480 divisors, whose sum is σ = 67752806400. Its totient is φ = 6755696640.

The previous prime is 22104345187. The next prime is 22104345209. The reversal of 22104345200 is 254340122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22104345209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92486681 + ... + 92486919.

It is an arithmetic number, because the mean of its divisors is an integer number (141151680).

Almost surely, 2^22104345200 is an apocalyptic number.

22104345200 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 22104345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33876403200).

22104345200 is an abundant number, since it is smaller than the sum of its proper divisors (45648461200).

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

22104345200 is a wasteful number, since it uses less digits than its factorization.

22104345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 22104345200 its reverse (254340122), we get a palindrome (22358685322).

The spelling of 22104345200 in words is "twenty-two billion, one hundred four million, three hundred forty-five thousand, two hundred".