228144 has 60 divisors (see below), whose sum is σ = 692664. Its totient is φ = 64512.

The previous prime is 228139. The next prime is 228181. The reversal of 228144 is 441822.

228144 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 228144.

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 228144.

It is an unprimeable number.

228144 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 11 ways as a sum of consecutive naturals, for example, 2304 + ... + 2400.

2²²⁸¹⁴⁴ is an apocalyptic number.

228144 is a gapful number since it is divisible by the number (24) 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 228144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346332).

228144 is an abundant number, since it is smaller than the sum of its proper divisors (464520).

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

228144 is a wasteful number, since it uses less digits than its factorization.

228144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 228144 is about 477.6442190585. The cubic root of 228144 is about 61.1040060304.

Adding to 228144 its reverse (441822), we get a palindrome (669966).

The spelling of 228144 in words is "two hundred twenty-eight thousand, one hundred forty-four".