228384
228,384 is an even composite number composed of four prime numbers multiplied together.
228384 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 228384:
25 × 32 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 61)See below for interesting mathematical facts about the number 228384 from the Numbermatics database.
Names of 228384
- Cardinal: 228384 can be written as Two hundred twenty-eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 2.28384 × 105
Factors of 228384
Divisors of 228384
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 72 78 96 104 117 122 144 156 183 208 234 244 288 312 366 416 468 488 549 624 732 793 936 976 1098 1248 1464 1586 1872 1952 2196 2379 2928 3172 3744 4392 4758 5856 6344 7137 8784 9516 12688 14274 17568 19032 25376 28548 38064 57096 76128 114192 228384
- Sum of all divisors σ(n): 710892
- Sum of proper divisors (its aliquot sum) s(n): 482508
- 228384 is an abundant number, because the sum of its proper divisors (482508) is greater than itself. Its abundance is 254124
Bases of 228384
- Binary: 1101111100001000002
- Hexadecimal: 0x37C20
- Base-36: 4W80
Squares and roots of 228384
- 228384 squared (2283842) is 52159251456
- 228384 cubed (2283843) is 11912338484527104
-
The
square root of 228384 is 477.8953860417 -
The
cube root of 228384 is 61.1254249911
Scales and comparisons
How big is 228384?- 228,384 seconds is equal to 2 days, 15 hours, 26 minutes, 24 seconds.
-
To count from 1 to 228,384 would take you about two days.
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 228384 cubic inches would be around 5.1 feet tall.
Recreational maths with 228384
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