225681934320 has 240 divisors, whose sum is σ = 787700833920. Its totient is φ = 60050564352.

The previous prime is 225681934229. The next prime is 225681934327. The reversal of 225681934320 is 23439186522.

225681934320 is a `hidden beast` number, since 2 + 2 + 56 + 81 + 93 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225681934327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9066051 + ... + 9090909.

It is an arithmetic number, because the mean of its divisors is an integer number (3282086808).

Almost surely, 2^225681934320 is an apocalyptic number.

225681934320 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 225681934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393850416960).

225681934320 is an abundant number, since it is smaller than the sum of its proper divisors (562018899600).

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

225681934320 is a wasteful number, since it uses less digits than its factorization.

225681934320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25354 (or 25336 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 225681934320 in words is "two hundred twenty-five billion, six hundred eighty-one million, nine hundred thirty-four thousand, three hundred twenty".