22430403200 has 96 divisors (see below), whose sum is σ = 55959526620. Its totient is φ = 8883200000.

The previous prime is 22430403167. The next prime is 22430403217. The reversal of 22430403200 is 230403422.

It can be written as a sum of positive squares in 6 ways, for example, as 16300139584 + 6130263616 = 127672^2 + 78296^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288500 + ... + 357900.

Almost surely, 2^22430403200 is an apocalyptic number.

22430403200 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 22430403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27979763310).

22430403200 is an abundant number, since it is smaller than the sum of its proper divisors (33529123420).

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

22430403200 is a wasteful number, since it uses less digits than its factorization.

22430403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69526 (or 69509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22430403200 its reverse (230403422), we get a palindrome (22660806622).

The spelling of 22430403200 in words is "twenty-two billion, four hundred thirty million, four hundred three thousand, two hundred".