225525230304 has 192 divisors, whose sum is σ = 651283815168. Its totient is φ = 67765248000.

The previous prime is 225525230263. The next prime is 225525230317. The reversal of 225525230304 is 403032525522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 79102479 + ... + 79105329.

It is an arithmetic number, because the mean of its divisors is an integer number (3392103204).

Almost surely, 2^225525230304 is an apocalyptic number.

225525230304 is a gapful number since it is divisible by the number (24) 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 225525230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325641907584).

225525230304 is an abundant number, since it is smaller than the sum of its proper divisors (425758584864).

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

225525230304 is a wasteful number, since it uses less digits than its factorization.

225525230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 225525230304 its reverse (403032525522), we get a palindrome (628557755826).

The spelling of 225525230304 in words is "two hundred twenty-five billion, five hundred twenty-five million, two hundred thirty thousand, three hundred four".