228340 has 36 divisors (see below), whose sum is σ = 560196. Its totient is φ = 77952.

The previous prime is 228337. The next prime is 228341. The reversal of 228340 is 43822.

228340 = T₇₁ + T₇₂ + ... + T₁₁₉.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 164836 = 252^2 + 406^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864 + ... + 1096.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2²²⁸³⁴⁰ is an apocalyptic number.

228340 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 228340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280098).

228340 is an abundant number, since it is smaller than the sum of its proper divisors (331856).

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

228340 is a wasteful number, since it uses less digits than its factorization.

228340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 228340 is about 477.8493486445. The cubic root of 228340 is about 61.1214993053.

The spelling of 228340 in words is "two hundred twenty-eight thousand, three hundred forty".