225414252 has 120 divisors (see below), whose sum is σ = 709040640. Its totient is φ = 61002720.

The previous prime is 225414239. The next prime is 225414253. The reversal of 225414252 is 252414522.

225414252 is a `hidden beast` number, since 225 + 414 + 25 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225414253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40477 + ... + 45707.

It is an arithmetic number, because the mean of its divisors is an integer number (5908672).

Almost surely, 2^225414252 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 225414252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354520320).

225414252 is an abundant number, since it is smaller than the sum of its proper divisors (483626388).

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

225414252 is a wasteful number, since it uses less digits than its factorization.

225414252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273 (or 5262 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 225414252 is about 15013.8020501138. The cubic root of 225414252 is about 608.5932395051.

Adding to 225414252 its reverse (252414522), we get a palindrome (477828774).

The spelling of 225414252 in words is "two hundred twenty-five million, four hundred fourteen thousand, two hundred fifty-two".