22104413200 has 120 divisors (see below), whose sum is σ = 57291598728. Its totient is φ = 8164515840.

The previous prime is 22104413137. The next prime is 22104413209. The reversal of 22104413200 is 231440122.

It can be written as a sum of positive squares in 12 ways, for example, as 49787136 + 22054626064 = 7056^2 + 148508^2 .

It is not an unprimeable number, because it can be changed into a prime (22104413209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329734 + ... + 391066.

Almost surely, 2^22104413200 is an apocalyptic number.

22104413200 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 22104413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28645799364).

22104413200 is an abundant number, since it is smaller than the sum of its proper divisors (35187185528).

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

22104413200 is a wasteful number, since it uses less digits than its factorization.

22104413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61421 (or 61410 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22104413200 its reverse (231440122), we get a palindrome (22335853322).

The spelling of 22104413200 in words is "twenty-two billion, one hundred four million, four hundred thirteen thousand, two hundred".