214988400
214,988,400 is an even composite number composed of six prime numbers multiplied together.
214988400 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 214988400:
24 × 32 × 52 × 11 × 61 × 89
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 61 × 89)See below for interesting mathematical facts about the number 214988400 from the Numbermatics database.
Names of 214988400
- Cardinal: 214988400 can be written as Two hundred fourteen million, nine hundred eighty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.149884 × 108
Factors of 214988400
Divisors of 214988400
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 44 45 48 50 55 60 61 66 72 75 80 88 89 90 99 100 110 120 122 132 144 150 165 176 178 180 183 198 200 220 225 240 244 264 267 275 300 305 330 356 360 366 396 400 440 445 450 488 495 528 534 549 550 600 610 660 671 712 720 732 792 801 825 880 890 900 915 976 979 990 1068 1098 1100 1200 1220 1320 1335 1342 1424 1464 1525 1584 1602 1650 1780 1800 1830 1958 1980 2013 2136 2196 2200 2225 2440 2475 2640 2670 2684 2745 2928 2937 3050 3204 3300 3355 3560 3600 3660 3916 3960 4005 4026 4272 4392 4400 4450 4575 4880 4895 4950 5340 5368 5429 5490 5874 6039 6100 6408 6600 6675 6710 7120 7320 7832 7920 8010 8052 8784 8811 8900 9150 9790 9900 10065 10680 10736 10858 10980 11748 12078 12200 12816 13200 13350 13420 13725 14640 14685 15664 16020 16104 16287 16775 17622 17800 18300 19580 19800 20025 20130 21360 21716 21960 23496 24156 24400 24475 26700 26840 27145 27450 29370 30195 32040 32208 32574 33550 35244 35600 36600 39160 39600 40050 40260 43432 43920 44055 46992 48312 48861 48950 50325 53400 53680 54290 54900 58740 59719 60390 64080 65148 67100 70488 73200 73425 78320 80100 80520 81435 86864 88110 96624 97722 97900 100650 106800 108580 109800 117480 119438 120780 130296 134200 135725 140976 146850 150975 160200 161040 162870 176220 179157 195444 195800 201300 217160 219600 220275 234960 238876 241560 244305 260592 268400 271450 293700 298595 301950 320400 325740 352440 358314 390888 391600 402600 407175 434320 440550 477752 483120 488610 537471 542900 587400 597190 603900 651480 704880 716628 781776 805200 814350 881100 895785 955504 977220 1074942 1085800 1174800 1194380 1207800 1221525 1302960 1433256 1492975 1628700 1762200 1791570 1954440 2149884 2171600 2388760 2415600 2443050 2687355 2866512 2985950 3257400 3524400 3583140 3908880 4299768 4478925 4777520 4886100 5374710 5971900 6514800 7166280 8599536 8957850 9772200 10749420 11943800 13436775 14332560 17915700 19544400 21498840 23887600 26873550 35831400 42997680 53747100 71662800 107494200 214988400
- Sum of all divisors σ(n): 836531280
- Sum of proper divisors (its aliquot sum) s(n): 621542880
- 214988400 is an abundant number, because the sum of its proper divisors (621542880) is greater than itself. Its abundance is 406554480
Bases of 214988400
- Binary: 11001101000001110110011100002
- Hexadecimal: 0xCD07670
- Base-36: 3JZY40
Squares and roots of 214988400
- 214988400 squared (2149884002) is 46220012134560000
- 214988400 cubed (2149884003) is 9936766456789639104000000
-
The
square root of 214988400 is 14662.4827365627 -
The
cube root of 214988400 is 599.0618672761
Scales and comparisons
How big is 214988400?- 214,988,400 seconds is equal to 6 years, 43 weeks, 3 days, 7 hours.
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To count from 1 to 214,988,400 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 214988400 cubic inches would be around 49.9 feet tall.
Recreational maths with 214988400
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