225866496 has 144 divisors (see below), whose sum is σ = 635765760. Its totient is φ = 71086080.

The previous prime is 225866491. The next prime is 225866497. The reversal of 225866496 is 694668522.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (225866491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261735 + ... + 1261913.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040).

Almost surely, 2^225866496 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 225866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317882880).

225866496 is an abundant number, since it is smaller than the sum of its proper divisors (409899264).

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

225866496 is a wasteful number, since it uses less digits than its factorization.

225866496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 225866496 is about 15028.8554454423. The cubic root of 225866496 is about 608.9999703409. Note that the first 4 decimals are identical.

The spelling of 225866496 in words is "two hundred twenty-five million, eight hundred sixty-six thousand, four hundred ninety-six".