225766310 has 64 divisors (see below), whose sum is σ = 511847424. Its totient is φ = 69648000.

The previous prime is 225766283. The next prime is 225766319. The reversal of 225766310 is 13667522.

It is a super-2 number, since 2×225766310² = 101940853462032200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225766319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76319 + ... + 79221.

It is an arithmetic number, because the mean of its divisors is an integer number (7997616).

Almost surely, 2^225766310 is an apocalyptic number.

225766310 is an abundant number, since it is smaller than the sum of its proper divisors (286081114).

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

225766310 is a wasteful number, since it uses less digits than its factorization.

225766310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 225766310 is about 15025.5219543282. The cubic root of 225766310 is about 608.9099137582.

The spelling of 225766310 in words is "two hundred twenty-five million, seven hundred sixty-six thousand, three hundred ten".