230122200
230,122,200 is an even composite number composed of seven prime numbers multiplied together.
230122200 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 230122200:
23 × 3 × 52 × 7 × 11 × 17 × 293
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 17 × 293)See below for interesting mathematical facts about the number 230122200 from the Numbermatics database.
Names of 230122200
- Cardinal: 230122200 can be written as Two hundred thirty million, one hundred twenty-two thousand, two hundred.
Scientific notation
- Scientific notation: 2.301222 × 108
Factors of 230122200
Divisors of 230122200
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 17 20 21 22 24 25 28 30 33 34 35 40 42 44 50 51 55 56 60 66 68 70 75 77 84 85 88 100 102 105 110 119 120 132 136 140 150 154 165 168 170 175 187 200 204 210 220 231 238 255 264 275 280 293 300 308 330 340 350 357 374 385 408 420 425 440 462 476 510 525 550 561 586 595 600 616 660 680 700 714 748 770 825 840 850 879 924 935 952 1020 1050 1100 1122 1155 1172 1190 1275 1309 1320 1400 1428 1465 1496 1540 1650 1700 1758 1785 1848 1870 1925 2040 2051 2100 2200 2244 2310 2344 2380 2550 2618 2805 2856 2930 2975 3080 3223 3300 3400 3516 3570 3740 3850 3927 4102 4200 4395 4488 4620 4675 4760 4981 5100 5236 5610 5775 5860 5950 6153 6446 6545 6600 7032 7140 7325 7480 7700 7854 8204 8790 8925 9240 9350 9669 9962 10200 10255 10472 11220 11550 11720 11900 12306 12892 13090 14025 14280 14650 14943 15400 15708 16115 16408 17580 17850 18700 19338 19635 19924 20510 21975 22440 22561 23100 23800 24612 24905 25784 26180 28050 29300 29886 30765 31416 32230 32725 34867 35160 35700 37400 38676 39270 39848 41020 43950 45122 46200 48345 49224 49810 51275 52360 54791 56100 58600 59772 61530 64460 65450 67683 69734 71400 74715 77352 78540 80575 82040 87900 90244 96690 98175 99620 102550 104601 109582 112200 112805 119544 123060 124525 128920 130900 135366 139468 149430 153825 157080 161150 164373 174335 175800 180488 193380 196350 199240 205100 209202 219164 225610 241725 246120 249050 261800 270732 273955 278936 298860 307650 322300 328746 338415 348670 373575 383537 386760 392700 410200 418404 438328 451220 483450 498100 523005 541464 547910 564025 597720 615300 644600 657492 676830 697340 747150 767074 785400 821865 836808 871675 902440 966900 996200 1046010 1095820 1128050 1150611 1230600 1314984 1353660 1369775 1394680 1494300 1534148 1643730 1692075 1743350 1917685 1933800 2092020 2191640 2256100 2301222 2615025 2707320 2739550 2988600 3068296 3287460 3384150 3486700 3835370 4109325 4184040 4512200 4602444 5230050 5479100 5753055 6574920 6768300 6973400 7670740 8218650 9204888 9588425 10460100 10958200 11506110 13536600 15341480 16437300 19176850 20920200 23012220 28765275 32874600 38353700 46024440 57530550 76707400 115061100 230122200
- Sum of all divisors σ(n): 944939520
- Sum of proper divisors (its aliquot sum) s(n): 714817320
- 230122200 is an abundant number, because the sum of its proper divisors (714817320) is greater than itself. Its abundance is 484695120
Bases of 230122200
- Binary: 11011011011101100010110110002
- Hexadecimal: 0xDB762D8
- Base-36: 3T0BFC
Squares and roots of 230122200
- 230122200 squared (2301222002) is 52956226932840000
- 230122200 cubed (2301222003) is 12186403445484393048000000
-
The
square root of 230122200 is 15169.7791678059 -
The
cube root of 230122200 is 612.8010570531
Scales and comparisons
How big is 230122200?- 230,122,200 seconds is equal to 7 years, 16 weeks, 3 days, 10 hours, 50 minutes.
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To count from 1 to 230,122,200 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 230122200 cubic inches would be around 51.1 feet tall.
Recreational maths with 230122200
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