225025302233200 has 360 divisors, whose sum is σ = 653062605318144. Its totient is φ = 74215657152000.

The previous prime is 225025302233189. The next prime is 225025302233269. The reversal of 225025302233200 is 2332203520522.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100360365 + ... + 102578035.

Almost surely, 2^{225025302233200} is an apocalyptic number.

225025302233200 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 225025302233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326531302659072).

225025302233200 is an abundant number, since it is smaller than the sum of its proper divisors (428037303084944).

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

225025302233200 is a wasteful number, since it uses less digits than its factorization.

225025302233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217901 (or 2217883 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 31.

Adding to 225025302233200 its reverse (2332203520522), we get a palindrome (227357505753722).

The spelling of 225025302233200 in words is "two hundred twenty-five trillion, twenty-five billion, three hundred two million, two hundred thirty-three thousand, two hundred".