225956976 has 80 divisors (see below), whose sum is σ = 669909504. Its totient is φ = 64288512.

The previous prime is 225956953. The next prime is 225956981. The reversal of 225956976 is 679659522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87090 + ... + 89646.

Almost surely, 2^225956976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225956976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334954752).

225956976 is an abundant number, since it is smaller than the sum of its proper divisors (443952528).

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

225956976 is a wasteful number, since it uses less digits than its factorization.

225956976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2832 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 51.

The square root of 225956976 is about 15031.8653533086. The cubic root of 225956976 is about 609.0812793768.

The spelling of 225956976 in words is "two hundred twenty-five million, nine hundred fifty-six thousand, nine hundred seventy-six".