228168 has 24 divisors (see below), whose sum is σ = 618150. Its totient is φ = 76032.

The previous prime is 228139. The next prime is 228181. The reversal of 228168 is 861822.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 66564 = 402^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

228168 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 5 ways as a sum of consecutive naturals, for example, 1513 + ... + 1656.

2²²⁸¹⁶⁸ is an apocalyptic number.

It is an amenable number.

228168 is an abundant number, since it is smaller than the sum of its proper divisors (389982).

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

228168 is a wasteful number, since it uses less digits than its factorization.

228168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3174 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 228168 is about 477.6693416999. The cubic root of 228168 is about 61.1061486022.

The spelling of 228168 in words is "two hundred twenty-eight thousand, one hundred sixty-eight".