225880152336 has 240 divisors, whose sum is σ = 670757068800. Its totient is φ = 73554459264.

The previous prime is 225880152317. The next prime is 225880152361. The reversal of 225880152336 is 633251088522.

225880152336 is a `hidden beast` number, since 2 + 2 + 588 + 0 + 15 + 23 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225880152291 and 225880152300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156969505 + ... + 156970943.

It is an arithmetic number, because the mean of its divisors is an integer number (2794821120).

Almost surely, 2^225880152336 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 225880152336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335378534400).

225880152336 is an abundant number, since it is smaller than the sum of its proper divisors (444876916464).

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

225880152336 is a wasteful number, since it uses less digits than its factorization.

225880152336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 225880152336 in words is "two hundred twenty-five billion, eight hundred eighty million, one hundred fifty-two thousand, three hundred thirty-six".