225750 has 64 divisors (see below), whose sum is σ = 658944. Its totient is φ = 50400.

The previous prime is 225749. The next prime is 225751. The reversal of 225750 is 57522.

It is an interprime number because it is at equal distance from previous prime (225749) and next prime (225751).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225751) 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 31 ways as a sum of consecutive naturals, for example, 5229 + ... + 5271.

It is an arithmetic number, because the mean of its divisors is an integer number (10296).

2²²⁵⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329472).

225750 is an abundant number, since it is smaller than the sum of its proper divisors (433194).

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

225750 is a wasteful number, since it uses less digits than its factorization.

225750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 225750 is about 475.1315607282. The cubic root of 225750 is about 60.8895250277.

It can be divided in two parts, 2 and 25750, that added together give a palindrome (25752).

The spelling of 225750 in words is "two hundred twenty-five thousand, seven hundred fifty".