228520 has 32 divisors (see below), whose sum is σ = 534600. Its totient is φ = 87808.

The previous prime is 228517. The next prime is 228521. The reversal of 228520 is 25822.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 3844 = 474^2 + 62^2 .

It is not an unprimeable number, because it can be changed into a prime (228521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1062 + ... + 1258.

2²²⁸⁵²⁰ is an apocalyptic number.

228520 is a gapful number since it is divisible by the number (20) 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 228520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267300).

228520 is an abundant number, since it is smaller than the sum of its proper divisors (306080).

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

228520 is a wasteful number, since it uses less digits than its factorization.

228520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 228520 is about 478.0376554206. The cubic root of 228520 is about 61.1375557420.

The spelling of 228520 in words is "two hundred twenty-eight thousand, five hundred twenty".