225640226560 has 432 divisors, whose sum is σ = 645083260416. Its totient is φ = 74059776000.

The previous prime is 225640226507. The next prime is 225640226621. The reversal of 225640226560 is 65622046522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 1069384855 + ... + 1069385065.

It is an arithmetic number, because the mean of its divisors is an integer number (1493248288).

Almost surely, 2^225640226560 is an apocalyptic number.

225640226560 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 225640226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322541630208).

225640226560 is an abundant number, since it is smaller than the sum of its proper divisors (419443033856).

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

225640226560 is an equidigital number, since it uses as much as digits as its factorization.

225640226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 225640226560 in words is "two hundred twenty-five billion, six hundred forty million, two hundred twenty-six thousand, five hundred sixty".