225354312 has 112 divisors (see below), whose sum is σ = 671080140. Its totient is φ = 70668288.

The previous prime is 225354301. The next prime is 225354323. The reversal of 225354312 is 213453522.

It is a happy number.

225354312 is a `hidden beast` number, since 225 + 3 + 5 + 431 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (225354301) and next prime (225354323).

It can be written as a sum of positive squares in 2 ways, for example, as 195608196 + 29746116 = 13986^2 + 5454^2 .

It is a super-3 number, since 3×225354312³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 98008 + ... + 100280.

Almost surely, 2^225354312 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 225354312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335540070).

225354312 is an abundant number, since it is smaller than the sum of its proper divisors (445725828).

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

225354312 is a wasteful number, since it uses less digits than its factorization.

225354312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2295 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 225354312 is about 15011.8057541390. The cubic root of 225354312 is about 608.5392909603.

It can be divided in two parts, 2253 and 54312, that added together give a palindrome (56565).

The spelling of 225354312 in words is "two hundred twenty-five million, three hundred fifty-four thousand, three hundred twelve".