225522304000 has 528 divisors, whose sum is σ = 671214149424. Its totient is φ = 75350016000.

The previous prime is 225522303997. The next prime is 225522304039. The reversal of 225522304000 is 403225522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 93352247296 + 132170056704 = 305536^2 + 363552^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257151562 + ... + 257152438.

Almost surely, 2^225522304000 is an apocalyptic number.

225522304000 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 225522304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335607074712).

225522304000 is an abundant number, since it is smaller than the sum of its proper divisors (445691845424).

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

225522304000 is an equidigital number, since it uses as much as digits as its factorization.

225522304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 932 counting only the distinct ones).

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

Adding to 225522304000 its reverse (403225522), we get a palindrome (225925529522).

The spelling of 225522304000 in words is "two hundred twenty-five billion, five hundred twenty-two million, three hundred four thousand".