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228360 = 233511173
BaseRepresentation
bin110111110000001000
3102121020210
4313300020
524301420
64521120
71640526
oct676010
9377223
10228360
11146630
12b01a0
137cc32
145d316
15479e0
hex37c08

228360 has 64 divisors (see below), whose sum is σ = 751680. Its totient is φ = 55040.

The previous prime is 228359. The next prime is 228383. The reversal of 228360 is 63822.

228360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (11745).

2228360 is an apocalyptic number.

228360 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 228360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375840).

228360 is an abundant number, since it is smaller than the sum of its proper divisors (523320).

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

228360 is a wasteful number, since it uses less digits than its factorization.

228360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 228360 is about 477.8702752840. The cubic root of 228360 is about 61.1232837705.

The spelling of 228360 in words is "two hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 173 220 264 330 346 440 519 660 692 865 1038 1320 1384 1730 1903 2076 2595 3460 3806 4152 5190 5709 6920 7612 9515 10380 11418 15224 19030 20760 22836 28545 38060 45672 57090 76120 114180 228360