228105 has 24 divisors (see below), whose sum is σ = 409032. Its totient is φ = 117504.

The previous prime is 228103. The next prime is 228113. The reversal of 228105 is 501822.

It can be written as a sum of positive squares in 4 ways, for example, as 71289 + 156816 = 267^2 + 396^2 .

It is not a de Polignac number, because 228105 - 2¹ = 228103 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228105.

It is not an unprimeable number, because it can be changed into a prime (228103) 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, 1597 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (17043).

2²²⁸¹⁰⁵ is an apocalyptic number.

It is an amenable number.

228105 is a deficient number, since it is larger than the sum of its proper divisors (180927).

228105 is a wasteful number, since it uses less digits than its factorization.

228105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 228105 is about 477.6033919478. The cubic root of 228105 is about 61.1005240307.

Adding to 228105 its reverse (501822), we get a palindrome (729927).

It can be divided in two parts, 228 and 105, that added together give a palindrome (333).

The spelling of 228105 in words is "two hundred twenty-eight thousand, one hundred five".