214960200
214,960,200 is an even composite number composed of seven prime numbers multiplied together.
214960200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 214960200:
23 × 3 × 52 × 7 × 13 × 31 × 127
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 31 × 127)See below for interesting mathematical facts about the number 214960200 from the Numbermatics database.
Names of 214960200
- Cardinal: 214960200 can be written as Two hundred fourteen million, nine hundred sixty thousand, two hundred.
Scientific notation
- Scientific notation: 2.149602 × 108
Factors of 214960200
Divisors of 214960200
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 25 26 28 30 31 35 39 40 42 50 52 56 60 62 65 70 75 78 84 91 93 100 104 105 120 124 127 130 140 150 155 156 168 175 182 186 195 200 210 217 248 254 260 273 280 300 310 312 325 350 364 372 381 390 403 420 434 455 465 508 520 525 546 600 620 635 650 651 700 728 744 762 775 780 806 840 868 889 910 930 975 1016 1050 1085 1092 1209 1240 1270 1300 1302 1365 1400 1524 1550 1560 1612 1651 1736 1778 1820 1860 1905 1950 2015 2100 2170 2184 2275 2325 2418 2540 2600 2604 2667 2730 2821 3048 3100 3175 3224 3255 3302 3556 3640 3720 3810 3900 3937 4030 4200 4340 4445 4550 4650 4836 4953 5080 5208 5334 5425 5460 5642 6045 6200 6350 6510 6604 6825 7112 7620 7800 7874 8060 8255 8463 8680 8890 9100 9300 9525 9672 9906 10075 10668 10850 10920 11284 11557 11811 12090 12700 13020 13208 13335 13650 14105 15240 15748 16120 16275 16510 16926 17780 18200 18600 19050 19685 19812 20150 21336 21700 22225 22568 23114 23622 24180 24765 25400 26040 26670 27300 27559 28210 30225 31496 32550 33020 33852 34671 35560 38100 39370 39624 40300 41275 42315 43400 44450 46228 47244 48360 49530 51181 53340 54600 55118 56420 57785 59055 60450 65100 66040 66675 67704 69342 70525 76200 78740 80600 82550 82677 84630 88900 92456 94488 98425 99060 102362 106680 110236 112840 115570 118110 120900 123825 130200 133350 137795 138684 141050 153543 157480 165100 165354 169260 173355 177800 196850 198120 204724 211575 220472 231140 236220 241800 247650 255905 266700 275590 277368 282100 288925 295275 307086 330200 330708 338520 346710 358267 393700 409448 413385 423150 462280 472440 495300 511810 533400 551180 564200 577850 590550 614172 661416 688975 693420 716534 767715 787400 826770 846300 866775 990600 1023620 1074801 1102360 1155700 1181100 1228344 1279525 1377950 1386840 1433068 1535430 1653540 1692600 1733550 1791335 2047240 2066925 2149602 2311400 2362200 2559050 2755900 2866136 3070860 3307080 3467100 3582670 3838575 4133850 4299204 5118100 5374005 5511800 6141720 6934200 7165340 7677150 8267700 8598408 8956675 10236200 10748010 14330680 15354300 16535400 17913350 21496020 26870025 30708600 35826700 42992040 53740050 71653400 107480100 214960200
- Sum of all divisors σ(n): 853278720
- Sum of proper divisors (its aliquot sum) s(n): 638318520
- 214960200 is an abundant number, because the sum of its proper divisors (638318520) is greater than itself. Its abundance is 423358320
Bases of 214960200
- Binary: 11001101000000001000010010002
- Hexadecimal: 0xCD00848
- Base-36: 3JZCCO
Squares and roots of 214960200
- 214960200 squared (2149602002) is 46207887584040000
- 214960200 cubed (2149602003) is 9932856756642755208000000
-
The
square root of 214960200 is 14661.5210670653 -
The
cube root of 214960200 is 599.0356731755
Scales and comparisons
How big is 214960200?- 214,960,200 seconds is equal to 6 years, 43 weeks, 2 days, 23 hours, 10 minutes.
-
To count from 1 to 214,960,200 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 214960200 cubic inches would be around 49.9 feet tall.
Recreational maths with 214960200
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