214297200
214,297,200 is an even composite number composed of six prime numbers multiplied together.
214297200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 214297200:
24 × 32 × 52 × 13 × 19 × 241
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 19 × 241)See below for interesting mathematical facts about the number 214297200 from the Numbermatics database.
Names of 214297200
- Cardinal: 214297200 can be written as Two hundred fourteen million, two hundred ninety-seven thousand, two hundred.
Scientific notation
- Scientific notation: 2.142972 × 108
Factors of 214297200
Divisors of 214297200
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 30 36 38 39 40 45 48 50 52 57 60 65 72 75 76 78 80 90 95 100 104 114 117 120 130 144 150 152 156 171 180 190 195 200 208 225 228 234 240 241 247 260 285 300 304 312 325 342 360 380 390 400 450 456 468 475 482 494 520 570 585 600 624 650 684 720 723 741 760 780 855 900 912 936 950 964 975 988 1040 1140 1170 1200 1205 1235 1300 1368 1425 1446 1482 1520 1560 1710 1800 1872 1900 1928 1950 1976 2169 2223 2280 2340 2410 2470 2600 2736 2850 2892 2925 2964 3120 3133 3420 3600 3615 3705 3800 3856 3900 3952 4275 4338 4446 4560 4579 4680 4820 4940 5200 5700 5784 5850 5928 6025 6175 6266 6840 7230 7410 7600 7800 8550 8676 8892 9158 9360 9399 9640 9880 10845 11115 11400 11568 11700 11856 12050 12350 12532 13680 13737 14460 14820 15600 15665 17100 17352 17784 18075 18316 18525 18798 19280 19760 21690 22230 22800 22895 23400 24100 24700 25064 27474 28197 28920 29640 31330 34200 34704 35568 36150 36632 37050 37596 41211 43380 44460 45790 46800 46995 48200 49400 50128 54225 54948 55575 56394 57840 59280 59527 62660 68400 68685 72300 73264 74100 75192 78325 82422 86760 88920 91580 93990 96400 98800 108450 109896 111150 112788 114475 119054 125320 137370 140985 144600 148200 150384 156650 164844 173520 177840 178581 183160 187980 206055 216900 219792 222300 225576 228950 234975 238108 250640 274740 281970 289200 296400 297635 313300 329688 343425 357162 366320 375960 412110 433800 444600 451152 457900 469950 476216 535743 549480 563940 595270 626600 659376 686850 704925 714324 751920 824220 867600 889200 892905 915800 939900 952432 1030275 1071486 1098960 1127880 1190540 1253200 1373700 1409850 1428648 1488175 1648440 1785810 1831600 1879800 2060550 2142972 2255760 2381080 2678715 2747400 2819700 2857296 2976350 3296880 3571620 3759600 4121100 4285944 4464525 4762160 5357430 5494800 5639400 5952700 7143240 8242200 8571888 8929050 10714860 11278800 11905400 13393575 14286480 16484400 17858100 21429720 23810800 26787150 35716200 42859440 53574300 71432400 107148600 214297200
- Sum of all divisors σ(n): 846525680
- Sum of proper divisors (its aliquot sum) s(n): 632228480
- 214297200 is an abundant number, because the sum of its proper divisors (632228480) is greater than itself. Its abundance is 417931280
Bases of 214297200
- Binary: 11001100010111101010011100002
- Hexadecimal: 0xCC5EA70
- Base-36: 3JL4S0
Squares and roots of 214297200
- 214297200 squared (2142972002) is 45923289927840000
- 214297200 cubed (2142972003) is 9841232446324314048000000
-
The
square root of 214297200 is 14638.8934008005 -
The
cube root of 214297200 is 598.4191719625
Scales and comparisons
How big is 214297200?- 214,297,200 seconds is equal to 6 years, 42 weeks, 2 days, 7 hours.
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To count from 1 to 214,297,200 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 214297200 cubic inches would be around 49.9 feet tall.
Recreational maths with 214297200
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