225150 has 48 divisors (see below), whose sum is σ = 595200. Its totient is φ = 56160.

The previous prime is 225149. The next prime is 225157. The reversal of 225150 is 51522.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2811 + ... + 2889.

It is an arithmetic number, because the mean of its divisors is an integer number (12400).

2²²⁵¹⁵⁰ is an apocalyptic number.

It is a pronic number, being equal to 474×475.

It is a practical number, because each smaller number is the sum of distinct divisors of 225150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600).

225150 is an abundant number, since it is smaller than the sum of its proper divisors (370050).

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

225150 is a wasteful number, since it uses less digits than its factorization.

225150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 225150 is about 474.4997365647. The cubic root of 225150 is about 60.8355329577.

Adding to 225150 its reverse (51522), we get a palindrome (276672).

It can be divided in two parts, 2 and 25150, that added together give a palindrome (25152).

The spelling of 225150 in words is "two hundred twenty-five thousand, one hundred fifty".