228880 has 20 divisors (see below), whose sum is σ = 532332. Its totient is φ = 91520.

The previous prime is 228869. The next prime is 228881. The reversal of 228880 is 88822.

228880 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 104976 + 123904 = 324^2 + 352^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (228881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1351 + ... + 1510.

2²²⁸⁸⁸⁰ is an apocalyptic number.

228880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228880 is an abundant number, since it is smaller than the sum of its proper divisors (303452).

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

228880 is a wasteful number, since it uses less digits than its factorization.

228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 228880 is about 478.4140466165. The cubic root of 228880 is about 61.1696433384.

It can be divided in two parts, 2 and 28880, that added together give a palindrome (28882).

The spelling of 228880 in words is "two hundred twenty-eight thousand, eight hundred eighty".