225817956 has 336 divisors, whose sum is σ = 781503744. Its totient is φ = 55427328.

The previous prime is 225817927. The next prime is 225817997. The reversal of 225817956 is 659718522.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6103170 + ... + 6103206.

It is an arithmetic number, because the mean of its divisors is an integer number (2325904).

Almost surely, 2^225817956 is an apocalyptic number.

225817956 is a gapful number since it is divisible by the number (26) 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 225817956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390751872).

225817956 is an abundant number, since it is smaller than the sum of its proper divisors (555685788).

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

225817956 is a wasteful number, since it uses less digits than its factorization.

225817956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 225817956 is about 15027.2404652351. The cubic root of 225817956 is about 608.9563413581.

The spelling of 225817956 in words is "two hundred twenty-five million, eight hundred seventeen thousand, nine hundred fifty-six".