225306452 has 48 divisors (see below), whose sum is σ = 468236160. Its totient is φ = 92813952.

The previous prime is 225306451. The next prime is 225306467. The reversal of 225306452 is 254603522.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225306451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237443 + ... + 238389.

It is an arithmetic number, because the mean of its divisors is an integer number (9754920).

Almost surely, 2^225306452 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 225306452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234118080).

225306452 is an abundant number, since it is smaller than the sum of its proper divisors (242929708).

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

225306452 is a wasteful number, since it uses less digits than its factorization.

225306452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 225306452 is about 15010.2115907805. The cubic root of 225306452 is about 608.4962080593.

Adding to 225306452 its reverse (254603522), we get a palindrome (479909974).

It can be divided in two parts, 22530 and 6452, that added together give a palindrome (28982).

The spelling of 225306452 in words is "two hundred twenty-five million, three hundred six thousand, four hundred fifty-two".