225333972288 has 336 divisors, whose sum is σ = 690979161600. Its totient is φ = 70003491840.

The previous prime is 225333972251. The next prime is 225333972289. The reversal of 225333972288 is 882279333522.

It is a happy number.

225333972288 is a `hidden beast` number, since 2 + 2 + 533 + 3 + 9 + 7 + 22 + 88 = 666.

225333972288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225333972289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326098023 + ... + 326098713.

It is an arithmetic number, because the mean of its divisors is an integer number (2056485600).

Almost surely, 2^225333972288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225333972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345489580800).

225333972288 is an abundant number, since it is smaller than the sum of its proper divisors (465645189312).

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

225333972288 is a wasteful number, since it uses less digits than its factorization.

225333972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1157 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 225333972288 in words is "two hundred twenty-five billion, three hundred thirty-three million, nine hundred seventy-two thousand, two hundred eighty-eight".