225336 has 32 divisors (see below), whose sum is σ = 579600. Its totient is φ = 72960.

The previous prime is 225307. The next prime is 225341. The reversal of 225336 is 633522.

It is a congruent number.

It is an unprimeable number.

225336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870 + ... + 1098.

2²²⁵³³⁶ 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 225336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289800).

225336 is an abundant number, since it is smaller than the sum of its proper divisors (354264).

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

225336 is a wasteful number, since it uses less digits than its factorization.

225336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its digits is 1080, while the sum is 21.

The square root of 225336 is about 474.6956919965. The cubic root of 225336 is about 60.8522807475.

Adding to 225336 its reverse (633522), we get a palindrome (858858).

It can be divided in two parts, 225 and 336, that added together give a triangular number (561 = T₃₃).

The spelling of 225336 in words is "two hundred twenty-five thousand, three hundred thirty-six".