225791892 has 72 divisors (see below), whose sum is σ = 608962536. Its totient is φ = 70293504.

The previous prime is 225791887. The next prime is 225791893. The reversal of 225791892 is 298197522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59536656 + 166255236 = 7716^2 + 12894^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225791893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82498 + ... + 85190.

It is an arithmetic number, because the mean of its divisors is an integer number (8457813).

Almost surely, 2^225791892 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 225791892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304481268).

225791892 is an abundant number, since it is smaller than the sum of its proper divisors (383170644).

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

225791892 is a wasteful number, since it uses less digits than its factorization.

225791892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2852 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 225791892 is about 15026.3732151175. The cubic root of 225791892 is about 608.9329117941.

It can be divided in two parts, 2257 and 91892, that added together give a palindrome (94149).

The spelling of 225791892 in words is "two hundred twenty-five million, seven hundred ninety-one thousand, eight hundred ninety-two".