220005120
220,005,120 is an even composite number composed of six prime numbers multiplied together.
220005120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 220005120:
28 × 3 × 5 × 23 × 47 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 23 × 47 × 53)See below for interesting mathematical facts about the number 220005120 from the Numbermatics database.
Names of 220005120
- Cardinal: 220005120 can be written as Two hundred twenty million, five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.2000512 × 108
Factors of 220005120
Divisors of 220005120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 47 48 53 60 64 69 80 92 94 96 106 115 120 128 138 141 159 160 184 188 192 212 230 235 240 256 265 276 282 318 320 345 368 376 384 424 460 470 480 530 552 564 636 640 690 705 736 752 768 795 848 920 940 960 1060 1081 1104 1128 1219 1272 1280 1380 1410 1472 1504 1590 1696 1840 1880 1920 2120 2162 2208 2256 2438 2491 2544 2760 2820 2944 3008 3180 3243 3392 3657 3680 3760 3840 4240 4324 4416 4512 4876 4982 5088 5405 5520 5640 5888 6016 6095 6360 6486 6784 7314 7360 7473 7520 8480 8648 8832 9024 9752 9964 10176 10810 11040 11280 12032 12190 12455 12720 12972 13568 14628 14720 14946 15040 16215 16960 17296 17664 18048 18285 19504 19928 20352 21620 22080 22560 24380 24910 25440 25944 29256 29440 29892 30080 32430 33920 34592 36096 36570 37365 39008 39856 40704 43240 44160 45120 48760 49820 50880 51888 57293 58512 59784 60160 64860 67840 69184 73140 74730 78016 79712 86480 88320 90240 97520 99640 101760 103776 114586 117024 119568 129720 138368 146280 149460 156032 159424 171879 172960 180480 195040 199280 203520 207552 229172 234048 239136 259440 276736 286465 292560 298920 312064 318848 343758 345920 390080 398560 415104 458344 468096 478272 518880 572930 585120 597840 637696 687516 691840 780160 797120 830208 859395 916688 936192 956544 1037760 1145860 1170240 1195680 1375032 1383680 1560320 1594240 1718790 1833376 1913088 2075520 2291720 2340480 2391360 2750064 3188480 3437580 3666752 4151040 4583440 4680960 4782720 5500128 6875160 7333504 9166880 9565440 11000256 13750320 14667008 18333760 22000512 27500640 36667520 44001024 55001280 73335040 110002560 220005120
- Sum of all divisors σ(n): 762918912
- Sum of proper divisors (its aliquot sum) s(n): 542913792
- 220005120 is an abundant number, because the sum of its proper divisors (542913792) is greater than itself. Its abundance is 322908672
Bases of 220005120
- Binary: 11010001110100000011000000002
- Hexadecimal: 0xD1D0300
- Base-36: 3MZH1C
Squares and roots of 220005120
- 220005120 squared (2200051202) is 48402252826214400
- 220005120 cubed (2200051203) is 10648743441301638217728000
-
The
square root of 220005120 is 14832.5695683519 -
The
cube root of 220005120 is 603.6857567451
Scales and comparisons
How big is 220005120?- 220,005,120 seconds is equal to 6 years, 51 weeks, 5 days, 8 hours, 32 minutes.
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To count from 1 to 220,005,120 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 220005120 cubic inches would be around 50.3 feet tall.
Recreational maths with 220005120
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