230362080
230,362,080 is an even composite number composed of seven prime numbers multiplied together.
230362080 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 230362080:
25 × 3 × 5 × 13 × 19 × 29 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 29 × 67)See below for interesting mathematical facts about the number 230362080 from the Numbermatics database.
Names of 230362080
- Cardinal: 230362080 can be written as Two hundred thirty million, three hundred sixty-two thousand and eighty.
Scientific notation
- Scientific notation: 2.3036208 × 108
Factors of 230362080
Divisors of 230362080
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 29 30 32 38 39 40 48 52 57 58 60 65 67 76 78 80 87 95 96 104 114 116 120 130 134 145 152 156 160 174 190 195 201 208 228 232 240 247 260 268 285 290 304 312 335 348 377 380 390 402 416 435 456 464 480 494 520 536 551 570 580 608 624 670 696 741 754 760 780 804 870 871 912 928 988 1005 1040 1072 1102 1131 1140 1160 1235 1248 1273 1340 1392 1482 1508 1520 1560 1608 1653 1740 1742 1824 1885 1943 1976 2010 2080 2144 2204 2262 2280 2320 2470 2546 2613 2680 2755 2784 2964 3016 3040 3120 3216 3306 3480 3484 3705 3770 3819 3886 3952 4020 4355 4408 4524 4560 4640 4940 5092 5226 5360 5510 5655 5829 5928 6032 6240 6365 6432 6612 6960 6968 7163 7410 7540 7638 7772 7904 8040 8265 8710 8816 9048 9120 9715 9880 10184 10452 10720 11020 11310 11658 11856 12064 12730 13065 13224 13920 13936 14326 14820 15080 15276 15544 16080 16530 16549 17420 17632 18096 19095 19430 19760 20368 20904 21489 22040 22620 23316 23712 25259 25460 26130 26448 27872 28652 29145 29640 30160 30552 31088 32160 33060 33098 34840 35815 36192 36917 38190 38860 39520 40736 41808 42978 44080 45240 46632 49647 50518 50920 52260 52896 57304 58290 59280 60320 61104 62176 66120 66196 69680 71630 73834 75777 76380 77720 82745 83616 85956 88160 90480 93264 99294 101036 101840 104520 107445 110751 114608 116580 118560 122208 126295 132240 132392 139360 143260 147668 151554 152760 155440 165490 171912 180960 184585 186528 198588 202072 203680 209040 214890 221502 229216 233160 248235 252590 264480 264784 286520 295336 303108 305520 310880 330980 343824 369170 378885 397176 404144 418080 429780 443004 466320 479921 496470 505180 529568 553755 573040 590672 606216 611040 661960 687648 738340 757770 794352 808288 859560 886008 932640 959842 992940 1010360 1107510 1146080 1181344 1212432 1323920 1439763 1476680 1515540 1588704 1719120 1772016 1919684 1985880 2020720 2215020 2399605 2424864 2647840 2879526 2953360 3031080 3438240 3544032 3839368 3971760 4041440 4430040 4799210 5759052 5906720 6062160 7198815 7678736 7943520 8860080 9598420 11518104 12124320 14397630 15357472 17720160 19196840 23036208 28795260 38393680 46072416 57590520 76787360 115181040 230362080
- Sum of all divisors σ(n): 863654400
- Sum of proper divisors (its aliquot sum) s(n): 633292320
- 230362080 is an abundant number, because the sum of its proper divisors (633292320) is greater than itself. Its abundance is 402930240
Bases of 230362080
- Binary: 11011011101100001011111000002
- Hexadecimal: 0xDBB0BE0
- Base-36: 3T5GIO
Squares and roots of 230362080
- 230362080 squared (2303620802) is 53066687901926400
- 230362080 cubed (2303620803) is 12224552603798601510912000
-
The
square root of 230362080 is 15177.6836177329 -
The
cube root of 230362080 is 613.0139116001
Scales and comparisons
How big is 230362080?- 230,362,080 seconds is equal to 7 years, 16 weeks, 6 days, 5 hours, 28 minutes.
-
To count from 1 to 230,362,080 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 230362080 cubic inches would be around 51.1 feet tall.
Recreational maths with 230362080
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