230428800
230,428,800 is an even composite number composed of five prime numbers multiplied together.
230428800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 230428800:
27 × 34 × 52 × 7 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 127)See below for interesting mathematical facts about the number 230428800 from the Numbermatics database.
Names of 230428800
- Cardinal: 230428800 can be written as Two hundred thirty million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.304288 × 108
Factors of 230428800
Divisors of 230428800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 126 127 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 252 254 270 280 288 300 315 320 324 336 350 360 378 381 384 400 405 420 432 448 450 480 504 508 525 540 560 567 576 600 630 635 640 648 672 675 700 720 756 762 800 810 840 864 889 896 900 945 960 1008 1016 1050 1080 1120 1134 1143 1152 1200 1260 1270 1296 1344 1350 1400 1440 1512 1524 1575 1600 1620 1680 1728 1778 1800 1890 1905 1920 2016 2025 2032 2100 2160 2240 2268 2286 2400 2520 2540 2592 2667 2688 2700 2800 2835 2880 3024 3048 3150 3175 3200 3240 3360 3429 3456 3556 3600 3780 3810 4032 4050 4064 4200 4320 4445 4480 4536 4572 4725 4800 5040 5080 5184 5334 5400 5600 5670 5715 5760 6048 6096 6300 6350 6480 6720 6858 7112 7200 7560 7620 8001 8064 8100 8128 8400 8640 8890 9072 9144 9450 9525 9600 10080 10160 10287 10368 10668 10800 11200 11340 11430 12096 12192 12600 12700 12960 13335 13440 13716 14175 14224 14400 15120 15240 16002 16200 16256 16800 17145 17280 17780 18144 18288 18900 19050 20160 20320 20574 21336 21600 22225 22400 22680 22860 24003 24192 24384 25200 25400 25920 26670 27432 28350 28448 28575 28800 30240 30480 32004 32400 33600 34290 35560 36288 36576 37800 38100 40005 40320 40640 41148 42672 43200 44450 45360 45720 48006 48768 50400 50800 51435 51840 53340 54864 56700 56896 57150 60480 60960 64008 64800 66675 67200 68580 71120 72009 72576 73152 75600 76200 80010 81280 82296 85344 85725 86400 88900 90720 91440 96012 100800 101600 102870 106680 109728 113400 113792 114300 120015 120960 121920 128016 129600 133350 137160 142240 144018 146304 151200 152400 160020 164592 170688 171450 177800 181440 182880 192024 200025 201600 203200 205740 213360 219456 226800 228600 240030 243840 256032 257175 259200 266700 274320 284480 288036 302400 304800 320040 329184 341376 342900 355600 360045 362880 365760 384048 400050 406400 411480 426720 438912 453600 457200 480060 512064 514350 533400 548640 568960 576072 600075 604800 609600 640080 658368 685800 711200 720090 731520 768096 800100 822960 853440 907200 914400 960120 1024128 1028700 1066800 1097280 1152144 1200150 1219200 1280160 1316736 1371600 1422400 1440180 1536192 1600200 1645920 1706880 1800225 1814400 1828800 1920240 2057400 2133600 2194560 2304288 2400300 2560320 2743200 2844800 2880360 3072384 3200400 3291840 3600450 3657600 3840480 4114800 4267200 4608576 4800600 5120640 5486400 5760720 6400800 6583680 7200900 7680960 8229600 8534400 9217152 9601200 10972800 11521440 12801600 14401800 15361920 16459200 19202400 23042880 25603200 28803600 32918400 38404800 46085760 57607200 76809600 115214400 230428800
- Sum of all divisors σ(n): 979461120
- Sum of proper divisors (its aliquot sum) s(n): 749032320
- 230428800 is an abundant number, because the sum of its proper divisors (749032320) is greater than itself. Its abundance is 518603520
Bases of 230428800
- Binary: 11011011110000010000100000002
- Hexadecimal: 0xDBC1080
- Base-36: 3T6W00
Squares and roots of 230428800
- 230428800 squared (2304288002) is 53097431869440000
- 230428800 cubed (2304288003) is 12235177508756815872000000
-
The
square root of 230428800 is 15179.8814224617 -
The
cube root of 230428800 is 613.0730884983
Scales and comparisons
How big is 230428800?- 230,428,800 seconds is equal to 7 years, 17 weeks.
-
To count from 1 to 230,428,800 would take you about ten years!
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 230428800 cubic inches would be around 51.1 feet tall.
Recreational maths with 230428800
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