22232250400 has 144 divisors (see below), whose sum is σ = 55201857480. Its totient is φ = 8742297600.

The previous prime is 22232250353. The next prime is 22232250401. The reversal of 22232250400 is 405223222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8596624 + 22223653776 = 2932^2 + 149076^2 .

It is not an unprimeable number, because it can be changed into a prime (22232250401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11945470 + ... + 11947330.

Almost surely, 2^22232250400 is an apocalyptic number.

22232250400 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 22232250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27600928740).

22232250400 is an abundant number, since it is smaller than the sum of its proper divisors (32969607080).

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

22232250400 is a wasteful number, since it uses less digits than its factorization.

22232250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 22232250400 its reverse (405223222), we get a palindrome (22637473622).

The spelling of 22232250400 in words is "twenty-two billion, two hundred thirty-two million, two hundred fifty thousand, four hundred".