225930 has 32 divisors (see below), whose sum is σ = 575424. Its totient is φ = 56576.

The previous prime is 225919. The next prime is 225931. The reversal of 225930 is 39522.

225930 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225897 and 225906.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225930.

It is not an unprimeable number, because it can be changed into a prime (225931) 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, 289 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (17982).

2²²⁵⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287712).

225930 is an abundant number, since it is smaller than the sum of its proper divisors (349494).

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

225930 is a wasteful number, since it uses less digits than its factorization.

225930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 225930 is about 475.3209442051. The cubic root of 225930 is about 60.9057039909.

The spelling of 225930 in words is "two hundred twenty-five thousand, nine hundred thirty".