225793298304 has 960 divisors, whose sum is σ = 823932172800. Its totient is φ = 61373168640.

The previous prime is 225793298303. The next prime is 225793298323. The reversal of 225793298304 is 403892397522.

225793298304 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 9 + 329 + 8 + 304 = 666.

It is a super-2 number, since 2×225793298304² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225793298303) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3827005027 + ... + 3827005085.

It is an arithmetic number, because the mean of its divisors is an integer number (858262680).

Almost surely, 2^225793298304 is an apocalyptic number.

225793298304 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 225793298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411966086400).

225793298304 is an abundant number, since it is smaller than the sum of its proper divisors (598138874496).

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

225793298304 is an frugal number, since it uses more digits than its factorization.

225793298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 225793298304 in words is "two hundred twenty-five billion, seven hundred ninety-three million, two hundred ninety-eight thousand, three hundred four".