230475960
230,475,960 is an even composite number composed of six prime numbers multiplied together.
230475960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 230475960:
23 × 32 × 5 × 113 × 13 × 37
(2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 11 × 13 × 37)See below for interesting mathematical facts about the number 230475960 from the Numbermatics database.
Names of 230475960
- Cardinal: 230475960 can be written as Two hundred thirty million, four hundred seventy-five thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.3047596 × 108
Factors of 230475960
Divisors of 230475960
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 18 20 22 24 26 30 33 36 37 39 40 44 45 52 55 60 65 66 72 74 78 88 90 99 104 110 111 117 120 121 130 132 143 148 156 165 180 185 195 198 220 222 234 242 260 264 286 296 312 330 333 360 363 370 390 396 407 429 440 444 468 481 484 495 520 555 572 585 605 660 666 715 726 740 780 792 814 858 888 936 962 968 990 1089 1110 1144 1170 1210 1221 1287 1320 1331 1332 1430 1443 1452 1480 1560 1573 1628 1665 1716 1815 1924 1980 2035 2145 2178 2220 2340 2405 2420 2442 2574 2662 2664 2860 2886 2904 3146 3256 3330 3432 3630 3663 3848 3960 3993 4070 4290 4329 4356 4440 4477 4680 4719 4810 4840 4884 5148 5291 5324 5445 5720 5772 6105 6292 6435 6655 6660 7215 7260 7326 7865 7986 8140 8580 8658 8712 8954 9438 9620 9768 10296 10582 10648 10890 11544 11979 12210 12584 12870 13310 13320 13431 14157 14430 14520 14652 15730 15873 15972 16280 17160 17303 17316 17908 18315 18876 19240 19965 21164 21645 21780 22385 23595 23958 24420 25740 26455 26620 26862 28314 28860 29304 31460 31746 31944 34606 34632 35816 36630 37752 39930 40293 42328 43290 43560 44770 47190 47619 47916 48840 49247 51480 51909 52910 53240 53724 56628 57720 58201 59895 62920 63492 67155 69212 70785 73260 79365 79860 80586 86515 86580 89540 94380 95238 95832 98494 103818 105820 107448 113256 116402 119790 126984 134310 138424 141570 146520 147741 155727 158730 159720 161172 173030 173160 174603 179080 188760 190476 196988 201465 207636 211640 232804 238095 239580 246235 259545 268620 283140 291005 295482 311454 317460 322344 346060 349206 380952 393976 402930 415272 443223 465608 476190 479160 492470 519090 523809 537240 566280 582010 590964 622908 634920 640211 692120 698412 738705 778635 805860 873015 886446 952380 984940 1038180 1047618 1164020 1181928 1245816 1280422 1396824 1477410 1557270 1611720 1746030 1772892 1904760 1920633 1969880 2076360 2095236 2216115 2328040 2560844 2619045 2954820 3114540 3201055 3492060 3545784 3841266 4190472 4432230 5121688 5238090 5761899 5909640 6229080 6402110 6984120 7682532 8864460 9603165 10476180 11523798 12804220 15365064 17728920 19206330 20952360 23047596 25608440 28809495 38412660 46095192 57618990 76825320 115237980 230475960
- Sum of all divisors σ(n): 911252160
- Sum of proper divisors (its aliquot sum) s(n): 680776200
- 230475960 is an abundant number, because the sum of its proper divisors (680776200) is greater than itself. Its abundance is 450300240
Bases of 230475960
- Binary: 11011011110011001000101110002
- Hexadecimal: 0xDBCC8B8
- Base-36: 3T7WE0
Squares and roots of 230475960
- 230475960 squared (2304759602) is 53119168137921600
- 230475960 cubed (2304759603) is 12242691270988893164736000
-
The
square root of 230475960 is 15181.4347148087 -
The
cube root of 230475960 is 613.1149098831
Scales and comparisons
How big is 230475960?- 230,475,960 seconds is equal to 7 years, 17 weeks, 13 hours, 6 minutes.
-
To count from 1 to 230,475,960 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 230475960 cubic inches would be around 51.1 feet tall.
Recreational maths with 230475960
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