225333306 has 128 divisors (see below), whose sum is σ = 575078400. Its totient is φ = 64774080.

The previous prime is 225333281. The next prime is 225333343. The reversal of 225333306 is 603333522.

225333306 is a `hidden beast` number, since 2 + 25 + 333 + 306 = 666.

225333306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225333306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1774215 + ... + 1774341.

It is an arithmetic number, because the mean of its divisors is an integer number (4492800).

Almost surely, 2^225333306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225333306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287539200).

225333306 is an abundant number, since it is smaller than the sum of its proper divisors (349745094).

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

225333306 is a wasteful number, since it uses less digits than its factorization.

225333306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 225333306 is about 15011.1060884933. The cubic root of 225333306 is about 608.5203824047.

Adding to 225333306 its reverse (603333522), we get a palindrome (828666828).

The spelling of 225333306 in words is "two hundred twenty-five million, three hundred thirty-three thousand, three hundred six".