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228684 = 223171959
BaseRepresentation
bin110111110101001100
3102121200210
4313311030
524304214
64522420
71641501
oct676514
9377623
10228684
111468a5
12b0410
1380121
145d4a8
1547b59
hex37d4c

228684 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 66816.

The previous prime is 228677. The next prime is 228707. The reversal of 228684 is 486822.

It is a happy number.

228684 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

228684 is a modest number, since divided by 684 gives 228 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3847 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2228684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

228684 is an abundant number, since it is smaller than the sum of its proper divisors (376116).

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

228684 is a wasteful number, since it uses less digits than its factorization.

228684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 228684 is about 478.2091592598. The cubic root of 228684 is about 61.1521776008.

The spelling of 228684 in words is "two hundred twenty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 59 68 76 102 114 118 177 204 228 236 323 354 646 708 969 1003 1121 1292 1938 2006 2242 3009 3363 3876 4012 4484 6018 6726 12036 13452 19057 38114 57171 76228 114342 228684