225767790 has 64 divisors (see below), whose sum is σ = 614891520. Its totient is φ = 58920480.

The previous prime is 225767783. The next prime is 225767809. The reversal of 225767790 is 97767522.

225767790 is a `hidden beast` number, since 2 + 2 + 576 + 7 + 79 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 3795 + ... + 21585.

It is an arithmetic number, because the mean of its divisors is an integer number (9607680).

Almost surely, 2^225767790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225767790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307445760).

225767790 is an abundant number, since it is smaller than the sum of its proper divisors (389123730).

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

225767790 is a wasteful number, since it uses less digits than its factorization.

225767790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17854 (or 17848 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 225767790 is about 15025.5712037846. The cubic root of 225767790 is about 608.9112443150.

The spelling of 225767790 in words is "two hundred twenty-five million, seven hundred sixty-seven thousand, seven hundred ninety".