225326640 has 320 divisors, whose sum is σ = 887086080. Its totient is φ = 45957120.

The previous prime is 225326639. The next prime is 225326659. The reversal of 225326640 is 46623522.

225326640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 225326598 and 225326607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1644652 + ... + 1644788.

It is an arithmetic number, because the mean of its divisors is an integer number (2772144).

Almost surely, 2^225326640 is an apocalyptic number.

225326640 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 225326640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443543040).

225326640 is an abundant number, since it is smaller than the sum of its proper divisors (661759440).

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

225326640 is a wasteful number, since it uses less digits than its factorization.

225326640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 225326640 is about 15010.8840512476. The cubic root of 225326640 is about 608.5143817578.

The spelling of 225326640 in words is "two hundred twenty-five million, three hundred twenty-six thousand, six hundred forty".