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228696 = 23313733
BaseRepresentation
bin110111110101011000
3102121201020
4313311120
524304241
64522440
71641516
oct676530
9377636
10228696
11146906
12b0420
1380130
145d4b6
1547b66
hex37d58

228696 has 32 divisors (see below), whose sum is σ = 616560. Its totient is φ = 70272.

The previous prime is 228677. The next prime is 228707. The reversal of 228696 is 696822.

228696 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 inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228696.

It is an unprimeable number.

228696 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 55 + ... + 678.

2228696 is an apocalyptic number.

228696 is a gapful number since it is divisible by the number (26) 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 228696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308280).

228696 is an abundant number, since it is smaller than the sum of its proper divisors (387864).

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

228696 is a wasteful number, since it uses less digits than its factorization.

228696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 228696 is about 478.2217059064. The cubic root of 228696 is about 61.1532472184.

The spelling of 228696 in words is "two hundred twenty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 733 1466 2199 2932 4398 5864 8796 9529 17592 19058 28587 38116 57174 76232 114348 228696