225321102400 has 63 divisors (see below), whose sum is σ = 554477461909. Its totient is φ = 90120846080.

The previous prime is 225321102397. The next prime is 225321102431. The reversal of 225321102400 is 4201123522.

It is a happy number.

The square root of 225321102400 is 474680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81115596864 + 144205505536 = 284808^2 + 379744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18981267 + ... + 18993133.

Almost surely, 2^225321102400 is an apocalyptic number.

225321102400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225321102400 is the 474680-th square number.

It is an amenable number.

225321102400 is an abundant number, since it is smaller than the sum of its proper divisors (329156359509).

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

225321102400 is an frugal number, since it uses more digits than its factorization.

225321102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23756 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 225321102400 its reverse (4201123522), we get a palindrome (229522225922).

The spelling of 225321102400 in words is "two hundred twenty-five billion, three hundred twenty-one million, one hundred two thousand, four hundred".