225093132 has 72 divisors (see below), whose sum is σ = 635194560. Its totient is φ = 66618720.

The previous prime is 225093119. The next prime is 225093137. The reversal of 225093132 is 231390522.

225093132 is a `hidden beast` number, since 22 + 509 + 3 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225093096 and 225093105.

It is not an unprimeable number, because it can be changed into a prime (225093137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10419 + ... + 23637.

Almost surely, 2^225093132 is an apocalyptic number.

225093132 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 225093132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317597280).

225093132 is an abundant number, since it is smaller than the sum of its proper divisors (410101428).

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

225093132 is a wasteful number, since it uses less digits than its factorization.

225093132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13283 (or 13278 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 225093132 is about 15003.1040788232. The cubic root of 225093132 is about 608.3041061499.

The spelling of 225093132 in words is "two hundred twenty-five million, ninety-three thousand, one hundred thirty-two".