225940 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 74880.

The previous prime is 225931. The next prime is 225941. The reversal of 225940 is 49522.

It is a happy number.

225940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2821 + ... + 2899.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2²²⁵⁹⁴⁰ is an apocalyptic number.

225940 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 225940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

225940 is an abundant number, since it is smaller than the sum of its proper divisors (338540).

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

225940 is a wasteful number, since it uses less digits than its factorization.

225940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 225940 is about 475.3314632969. The cubic root of 225940 is about 60.9066025702.

The spelling of 225940 in words is "two hundred twenty-five thousand, nine hundred forty".