225100 has 18 divisors (see below), whose sum is σ = 488684. Its totient is φ = 90000.

The previous prime is 225089. The next prime is 225109. The reversal of 225100 is 1522.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (225109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1026 + ... + 1225.

2²²⁵¹⁰⁰ is an apocalyptic number.

225100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225100 is an abundant number, since it is smaller than the sum of its proper divisors (263584).

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

225100 is a wasteful number, since it uses less digits than its factorization.

225100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 225100 is about 474.4470465711. The cubic root of 225100 is about 60.8310292908.

Adding to 225100 its reverse (1522), we get a palindrome (226622).

It can be divided in two parts, 225 and 100, that added together give a triangular number (325 = T₂₅).

The spelling of 225100 in words is "two hundred twenty-five thousand, one hundred".