22552230400 has 360 divisors, whose sum is σ = 66658569516. Its totient is φ = 7535001600.

The previous prime is 22552230397. The next prime is 22552230401. The reversal of 22552230400 is 403225522.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6164134144 + 16388096256 = 78512^2 + 128016^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22552230401) 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 35 ways as a sum of consecutive naturals, for example, 25714762 + ... + 25715638.

Almost surely, 2^22552230400 is an apocalyptic number.

22552230400 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 22552230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33329284758).

22552230400 is an abundant number, since it is smaller than the sum of its proper divisors (44106339116).

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

22552230400 is an equidigital number, since it uses as much as digits as its factorization.

22552230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 22552230400 its reverse (403225522), we get a palindrome (22955455922).

The spelling of 22552230400 in words is "twenty-two billion, five hundred fifty-two million, two hundred thirty thousand, four hundred".