225160 has 32 divisors (see below), whose sum is σ = 546840. Its totient is φ = 82944.

The previous prime is 225157. The next prime is 225161. The reversal of 225160 is 61522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91204 + 133956 = 302^2 + 366^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (225161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 736.

2²²⁵¹⁶⁰ is an apocalyptic number.

225160 is a gapful number since it is divisible by the number (20) 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 225160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273420).

225160 is an abundant number, since it is smaller than the sum of its proper divisors (321680).

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

225160 is a wasteful number, since it uses less digits than its factorization.

225160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 225160 is about 474.5102738614. The cubic root of 225160 is about 60.8364336111.

Adding to 225160 its reverse (61522), we get a palindrome (286682).

The spelling of 225160 in words is "two hundred twenty-five thousand, one hundred sixty".