230788800
230,788,800 is an even composite number composed of six prime numbers multiplied together.
230788800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 230788800:
26 × 32 × 52 × 11 × 31 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 31 × 47)See below for interesting mathematical facts about the number 230788800 from the Numbermatics database.
Names of 230788800
- Cardinal: 230788800 can be written as Two hundred thirty million, seven hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.307888 × 108
Factors of 230788800
Divisors of 230788800
- Number of divisors d(n): 504
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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 31 32 33 36 40 44 45 47 48 50 55 60 62 64 66 72 75 80 88 90 93 94 96 99 100 110 120 124 132 141 144 150 155 160 165 176 180 186 188 192 198 200 220 225 235 240 248 264 275 279 282 288 300 310 320 330 341 352 360 372 376 396 400 423 440 450 465 470 480 495 496 517 528 550 558 564 576 600 620 660 682 704 705 720 744 752 775 792 800 825 846 880 900 930 940 960 990 992 1023 1034 1056 1100 1116 1128 1175 1200 1240 1320 1364 1395 1410 1440 1457 1488 1504 1550 1551 1584 1600 1650 1692 1705 1760 1800 1860 1880 1980 1984 2046 2068 2112 2115 2200 2232 2256 2325 2350 2400 2475 2480 2585 2640 2728 2790 2820 2880 2914 2976 3008 3069 3100 3102 3168 3300 3384 3410 3520 3525 3600 3720 3760 3960 4092 4136 4230 4371 4400 4464 4512 4650 4653 4700 4800 4950 4960 5115 5170 5280 5456 5580 5640 5828 5952 6138 6200 6204 6336 6600 6768 6820 6975 7050 7200 7285 7440 7520 7755 7920 8184 8272 8460 8525 8742 8800 8928 9024 9300 9306 9400 9900 9920 10230 10340 10560 10575 10912 11160 11280 11656 12276 12400 12408 12925 13113 13200 13536 13640 13950 14100 14400 14570 14880 15040 15345 15510 15840 16027 16368 16544 16920 17050 17484 17600 17856 18600 18612 18800 19800 20460 20680 21150 21824 21855 22320 22560 23265 23312 24552 24800 24816 25575 25850 26226 26400 27072 27280 27900 28200 29140 29760 30690 31020 31680 32054 32736 33088 33840 34100 34968 36425 37200 37224 37600 38775 39600 40920 41360 42300 43710 44640 45120 46530 46624 48081 49104 49600 49632 51150 51700 52452 52800 54560 55800 56400 58280 61380 62040 64108 65472 65565 67680 68200 69936 72850 74400 74448 75200 76725 77550 79200 80135 81840 82720 84600 87420 89280 93060 93248 96162 98208 99264 102300 103400 104904 109120 109275 111600 112800 116325 116560 122760 124080 128216 131130 135360 136400 139872 144243 145700 148800 148896 153450 155100 158400 160270 163680 165440 169200 174840 186120 192324 196416 204600 206800 209808 218550 223200 225600 232650 233120 240405 245520 248160 256432 262260 272800 279744 288486 291400 297792 306900 310200 320540 327360 327825 338400 349680 372240 384648 400675 409200 413600 419616 437100 446400 465300 466240 480810 491040 496320 512864 524520 545600 576972 582800 613800 620400 641080 655650 676800 699360 721215 744480 769296 801350 818400 827200 839232 874200 930600 961620 982080 1025728 1049040 1153944 1165600 1202025 1227600 1240800 1282160 1311300 1398720 1442430 1488960 1538592 1602700 1636800 1748400 1861200 1923240 2098080 2307888 2331200 2404050 2455200 2481600 2564320 2622600 2884860 3077184 3205400 3496800 3606075 3722400 3846480 4196160 4615776 4808100 4910400 5128640 5245200 5769720 6410800 6993600 7212150 7444800 7692960 9231552 9616200 10490400 11539440 12821600 14424300 15385920 19232400 20980800 23078880 25643200 28848600 38464800 46157760 57697200 76929600 115394400 230788800
- Sum of all divisors σ(n): 943368192
- Sum of proper divisors (its aliquot sum) s(n): 712579392
- 230788800 is an abundant number, because the sum of its proper divisors (712579392) is greater than itself. Its abundance is 481790592
Bases of 230788800
- Binary: 11011100000110001110110000002
- Hexadecimal: 0xDC18EC0
- Base-36: 3TELS0
Squares and roots of 230788800
- 230788800 squared (2307888002) is 53263470205440000
- 230788800 cubed (2307888003) is 12292612372549251072000000
-
The
square root of 230788800 is 15191.7345948381 -
The
cube root of 230788800 is 613.3921913691
Scales and comparisons
How big is 230788800?- 230,788,800 seconds is equal to 7 years, 17 weeks, 4 days, 4 hours.
-
To count from 1 to 230,788,800 would take you about eleven 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 230788800 cubic inches would be around 51.1 feet tall.
Recreational maths with 230788800
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