225832108320 has 2304 divisors, whose sum is σ = 1065160212480. Its totient is φ = 43893964800.

The previous prime is 225832108267. The next prime is 225832108331. The reversal of 225832108320 is 23801238522.

It is a happy number.

225832108320 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 321 + 0 + 8 + 320 = 666.

It is a super-2 number, since 2×225832108320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3180733885 + ... + 3180733955.

It is an arithmetic number, because the mean of its divisors is an integer number (462309120).

Almost surely, 2^225832108320 is an apocalyptic number.

225832108320 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 225832108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532580106240).

225832108320 is an abundant number, since it is smaller than the sum of its proper divisors (839328104160).

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

225832108320 is a wasteful number, since it uses less digits than its factorization.

225832108320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 225832108320 in words is "two hundred twenty-five billion, eight hundred thirty-two million, one hundred eight thousand, three hundred twenty".