228112 has 20 divisors (see below), whose sum is σ = 451980. Its totient is φ = 111488.

The previous prime is 228103. The next prime is 228113. The reversal of 228112 is 211822.

228112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 147456 = 284^2 + 384^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228113) by changing a digit.

228112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 714 + ... + 982.

It is an arithmetic number, because the mean of its divisors is an integer number (22599).

2²²⁸¹¹² is an apocalyptic number.

It is an amenable number.

228112 is a deficient number, since it is larger than the sum of its proper divisors (223868).

228112 is a wasteful number, since it uses less digits than its factorization.

228112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 228112 is about 477.6107201477. The cubic root of 228112 is about 61.1011490342.

Adding to 228112 its reverse (211822), we get a palindrome (439934).

Subtracting from 228112 its reverse (211822), we obtain a triangular number (16290 = T₁₈₀).

It can be divided in two parts, 2281 and 12, that multiplied together give a palindrome (27372).

The spelling of 228112 in words is "two hundred twenty-eight thousand, one hundred twelve".