228240 has 60 divisors (see below), whose sum is σ = 768924. Its totient is φ = 60672.

The previous prime is 228233. The next prime is 228251. The reversal of 228240 is 42822.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 186624 = 204^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

228240 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, 562 + ... + 878.

2²²⁸²⁴⁰ is an apocalyptic number.

228240 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 228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384462).

228240 is an abundant number, since it is smaller than the sum of its proper divisors (540684).

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

228240 is a wasteful number, since it uses less digits than its factorization.

228240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 228240 is about 477.7447016975. The cubic root of 228240 is about 61.1125754164.

The spelling of 228240 in words is "two hundred twenty-eight thousand, two hundred forty".