225132292 has 192 divisors, whose sum is σ = 572866560. Its totient is φ = 74649600.

The previous prime is 225132283. The next prime is 225132293. The reversal of 225132292 is 292231522.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (4320) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 225132292.

It is not an unprimeable number, because it can be changed into a prime (225132293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3083968 + ... + 3084040.

It is an arithmetic number, because the mean of its divisors is an integer number (2983680).

Almost surely, 2^225132292 is an apocalyptic number.

225132292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225132292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286433280).

225132292 is an abundant number, since it is smaller than the sum of its proper divisors (347734268).

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

225132292 is a wasteful number, since it uses less digits than its factorization.

225132292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 225132292 is about 15004.4090853322. The cubic root of 225132292 is about 608.3393801530.

It can be divided in two parts, 2251 and 32292, that added together give a palindrome (34543).

The spelling of 225132292 in words is "two hundred twenty-five million, one hundred thirty-two thousand, two hundred ninety-two".