221468940
221,468,940 is an even composite number composed of seven prime numbers multiplied together.
221468940 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 221468940:
22 × 32 × 5 × 7 × 11 × 19 × 292
(2 × 2 × 3 × 3 × 5 × 7 × 11 × 19 × 29 × 29)See below for interesting mathematical facts about the number 221468940 from the Numbermatics database.
Names of 221468940
- Cardinal: 221468940 can be written as Two hundred twenty-one million, four hundred sixty-eight thousand, nine hundred forty.
Scientific notation
- Scientific notation: 2.2146894 × 108
Factors of 221468940
Divisors of 221468940
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 19 20 21 22 28 29 30 33 35 36 38 42 44 45 55 57 58 60 63 66 70 76 77 84 87 90 95 99 105 110 114 116 126 132 133 140 145 154 165 171 174 180 190 198 203 209 210 220 228 231 252 261 266 285 290 308 315 319 330 342 348 380 385 396 399 406 418 420 435 462 495 522 532 551 570 580 609 627 630 638 660 665 684 693 770 798 812 836 841 855 870 924 957 990 1015 1044 1045 1102 1140 1155 1197 1218 1254 1260 1276 1305 1330 1386 1463 1540 1595 1596 1653 1682 1710 1740 1827 1881 1914 1980 1995 2030 2090 2204 2233 2310 2394 2436 2508 2523 2610 2660 2755 2772 2871 2926 3045 3135 3190 3306 3364 3420 3465 3654 3762 3828 3857 3990 4060 4180 4205 4389 4466 4620 4785 4788 4959 5046 5220 5510 5742 5852 5887 5985 6061 6090 6270 6380 6612 6699 6930 7308 7315 7524 7569 7714 7980 8265 8410 8778 8932 9135 9251 9405 9570 9918 10092 11020 11165 11484 11571 11774 11970 12122 12180 12540 12615 13167 13398 13860 14355 14630 15138 15428 15979 16530 16820 17556 17661 18183 18270 18502 18810 19140 19285 19836 20097 21945 22330 23142 23548 23940 24244 24795 25230 26334 26796 27753 28710 29260 29435 30276 30305 31958 33060 33495 34713 35322 36366 36540 37004 37620 37845 38570 40194 42427 43890 44660 46255 46284 47937 49590 50460 52668 52983 54549 55506 57420 57855 58870 60610 63916 64757 65835 66990 69426 70644 72732 75690 77140 79895 80388 83259 84854 87780 88305 90915 92510 95874 99180 100485 105966 109098 111012 111853 115710 117740 121220 127281 129514 131670 133980 138765 138852 143811 151380 159790 166518 169708 173565 175769 176610 181830 185020 191748 194271 200970 211932 212135 218196 223706 231420 239685 254562 259028 263340 264915 272745 277530 287622 319580 323785 333036 335559 347130 351538 353220 363660 381843 388542 401940 416295 424270 447412 479370 509124 527307 529830 545490 555060 559265 575244 582813 636405 647570 671118 694260 703076 719055 763686 777084 832590 848540 878845 958740 971355 1006677 1054614 1059660 1090980 1118530 1165626 1230383 1272810 1295140 1342236 1438110 1527372 1581921 1665180 1677795 1757690 1909215 1942710 2013354 2109228 2237060 2331252 2460766 2545620 2636535 2876220 2914065 3163842 3355590 3515380 3691149 3818430 3885420 4026708 4921532 5033385 5273070 5828130 6151915 6327684 6711180 7382298 7636860 7909605 10066770 10546140 11073447 11656260 12303830 14764596 15819210 18455745 20133540 22146894 24607660 31638420 36911490 44293788 55367235 73822980 110734470 221468940
- Sum of all divisors σ(n): 913086720
- Sum of proper divisors (its aliquot sum) s(n): 691617780
- 221468940 is an abundant number, because the sum of its proper divisors (691617780) is greater than itself. Its abundance is 470148840
Bases of 221468940
- Binary: 11010011001101011001000011002
- Hexadecimal: 0xD33590C
- Base-36: 3NUUJ0
Squares and roots of 221468940
- 221468940 squared (2214689402) is 49048491384723600
- 221468940 cubed (2214689403) is 10862717395573867884984000
-
The
square root of 221468940 is 14881.8325484465 -
The
cube root of 221468940 is 605.0216871765
Scales and comparisons
How big is 221468940?- 221,468,940 seconds is equal to 7 years, 2 weeks, 1 day, 7 hours, 9 minutes.
-
To count from 1 to 221,468,940 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 221468940 cubic inches would be around 50.4 feet tall.
Recreational maths with 221468940
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