230250720
230,250,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 230250720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
230250720 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 230250720:
25 × 3 × 5 × 7 × 17 × 29 × 139
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 29 × 139)See below for interesting mathematical facts about the number 230250720 from the Numbermatics database.
Names of 230250720
- Cardinal: 230250720 can be written as Two hundred thirty million, two hundred fifty thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 2.3025072 × 108
Factors of 230250720
Divisors of 230250720
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 29 30 32 34 35 40 42 48 51 56 58 60 68 70 80 84 85 87 96 102 105 112 116 119 120 136 139 140 145 160 168 170 174 203 204 210 224 232 238 240 255 272 278 280 290 336 340 348 357 406 408 417 420 435 464 476 480 493 510 544 556 560 580 595 609 672 680 695 696 714 812 816 834 840 870 928 952 973 986 1015 1020 1112 1120 1160 1190 1218 1360 1390 1392 1428 1479 1624 1632 1668 1680 1740 1785 1904 1946 1972 2030 2040 2085 2224 2320 2363 2380 2436 2465 2720 2780 2784 2856 2919 2958 3045 3248 3336 3360 3451 3480 3570 3808 3892 3944 4031 4060 4080 4170 4448 4640 4726 4760 4865 4872 4930 5560 5712 5838 5916 6090 6496 6672 6902 6960 7089 7140 7395 7784 7888 8062 8120 8160 8340 9452 9520 9730 9744 9860 10353 11120 11424 11676 11815 11832 12093 12180 13344 13804 13920 14178 14280 14595 14790 15568 15776 16124 16240 16541 16680 17255 18904 19040 19460 19488 19720 20155 20706 22240 23352 23630 23664 24186 24360 27608 28217 28356 28560 29190 29580 31136 32248 32480 33082 33360 34510 35445 37808 38920 39440 40310 41412 46704 47260 47328 48372 48720 49623 51765 55216 56434 56712 57120 58380 59160 60465 64496 66164 66720 68527 69020 70890 75616 77840 78880 80620 82705 82824 84651 93408 94520 96744 97440 99246 103530 110432 112868 113424 116760 118320 120930 128992 132328 137054 138040 141085 141780 155680 161240 165410 165648 169302 189040 193488 198492 205581 207060 225736 226848 233520 236640 241860 248115 264656 274108 276080 282170 283560 322480 330820 331296 338604 342635 378080 386976 396984 411162 414120 423255 451472 467040 479689 483720 496230 529312 548216 552160 564340 567120 644960 661640 677208 685270 793968 822324 828240 846510 902944 959378 967440 992460 1027905 1096432 1128680 1134240 1323280 1354416 1370540 1439067 1587936 1644648 1656480 1693020 1918756 1934880 1984920 2055810 2192864 2257360 2398445 2646560 2708832 2741080 2878134 3289296 3386040 3837512 3969840 4111620 4514720 4796890 5482160 5756268 6578592 6772080 7195335 7675024 7939680 8223240 9593780 10964320 11512536 13544160 14390670 15350048 16446480 19187560 23025072 28781340 32892960 38375120 46050144 57562680 76750240 115125360 230250720
- Sum of all divisors σ(n): 914457600
- Sum of proper divisors (its aliquot sum) s(n): 684206880
- 230250720 is an abundant number, because the sum of its proper divisors (684206880) is greater than itself. Its abundance is 453956160
Bases of 230250720
- Binary: 11011011100101011000111000002
- Hexadecimal: 0xDB958E0
- Base-36: 3T32LC
Squares and roots of 230250720
- 230250720 squared (2302507202) is 53015394060518400
- 230250720 cubed (2302507203) is 12206832653518085173248000
-
The
square root of 230250720 is 15174.0146302815 -
The
cube root of 230250720 is 612.9151160687
Scales and comparisons
How big is 230250720?- 230,250,720 seconds is equal to 7 years, 16 weeks, 4 days, 22 hours, 32 minutes.
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To count from 1 to 230,250,720 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 230250720 cubic inches would be around 51.1 feet tall.
Recreational maths with 230250720
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