228120 has 32 divisors (see below), whose sum is σ = 684720. Its totient is φ = 60800.

The previous prime is 228113. The next prime is 228127. The reversal of 228120 is 21822.

It is an interprime number because it is at equal distance from previous prime (228113) and next prime (228127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 228120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228127) 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, 831 + ... + 1070.

2²²⁸¹²⁰ is an apocalyptic number.

228120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228120 is an abundant number, since it is smaller than the sum of its proper divisors (456600).

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

228120 is a wasteful number, since it uses less digits than its factorization.

228120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 228120 is about 477.6190950957. The cubic root of 228120 is about 61.1018633083.

Adding to 228120 its reverse (21822), we get a palindrome (249942).

The spelling of 228120 in words is "two hundred twenty-eight thousand, one hundred twenty".