213222240
213,222,240 is an even composite number composed of six prime numbers multiplied together.
213222240 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 213222240:
25 × 33 × 5 × 7 × 11 × 641
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 641)See below for interesting mathematical facts about the number 213222240 from the Numbermatics database.
Names of 213222240
- Cardinal: 213222240 can be written as Two hundred thirteen million, two hundred twenty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 2.1322224 × 108
Factors of 213222240
Divisors of 213222240
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 126 132 135 140 144 154 160 165 168 176 180 189 198 210 216 220 224 231 240 252 264 270 280 288 297 308 315 330 336 352 360 378 385 396 420 432 440 462 480 495 504 528 540 560 594 616 630 641 660 672 693 720 756 770 792 840 864 880 924 945 990 1008 1056 1080 1120 1155 1188 1232 1260 1282 1320 1386 1440 1485 1512 1540 1584 1680 1760 1848 1890 1923 1980 2016 2079 2160 2310 2376 2464 2520 2564 2640 2772 2970 3024 3080 3168 3205 3360 3465 3696 3780 3846 3960 4158 4320 4487 4620 4752 5040 5128 5280 5544 5769 5940 6048 6160 6410 6930 7051 7392 7560 7692 7920 8316 8974 9240 9504 9615 10080 10256 10395 11088 11538 11880 12320 12820 13461 13860 14102 15120 15384 15840 16632 17307 17948 18480 19230 20512 20790 21153 22176 22435 23076 23760 25640 26922 27720 28204 28845 30240 30768 33264 34614 35255 35896 36960 38460 40383 41580 42306 44870 46152 47520 49357 51280 53844 55440 56408 57690 61536 63459 66528 67305 69228 70510 71792 76920 80766 83160 84612 86535 89740 92304 98714 102560 105765 107688 110880 112816 115380 121149 126918 134610 138456 141020 143584 148071 153840 161532 166320 169224 173070 179480 184608 190377 197428 201915 211530 215376 225632 230760 242298 246785 253836 269220 276912 282040 296142 307680 317295 323064 332640 338448 346140 358960 380754 394856 403830 423060 430752 444213 461520 484596 493570 507672 538440 553824 564080 592284 605745 634590 646128 676896 692280 717920 740355 761508 789712 807660 846120 888426 923040 951885 969192 987140 1015344 1076880 1128160 1184568 1211490 1269180 1292256 1332639 1384560 1480710 1523016 1579424 1615320 1692240 1776852 1903770 1938384 1974280 2030688 2153760 2221065 2369136 2422980 2538360 2665278 2769120 2961420 3046032 3230640 3384480 3553704 3807540 3876768 3948560 4442130 4738272 4845960 5076720 5330556 5922840 6092064 6461280 6663195 7107408 7615080 7897120 8884260 9691920 10153440 10661112 11845680 13326390 14214816 15230160 17768520 19383840 21322224 23691360 26652780 30460320 35537040 42644448 53305560 71074080 106611120 213222240
- Sum of all divisors σ(n): 931875840
- Sum of proper divisors (its aliquot sum) s(n): 718653600
- 213222240 is an abundant number, because the sum of its proper divisors (718653600) is greater than itself. Its abundance is 505431360
Bases of 213222240
- Binary: 11001011010110000011011000002
- Hexadecimal: 0xCB58360
- Base-36: 3IY3C0
Squares and roots of 213222240
- 213222240 squared (2132222402) is 45463723630617600
- 213222240 cubed (2132222403) is 9693876991261217255424000
-
The
square root of 213222240 is 14602.1313512789 -
The
cube root of 213222240 is 597.4168952419
Scales and comparisons
How big is 213222240?- 213,222,240 seconds is equal to 6 years, 40 weeks, 3 days, 20 hours, 24 minutes.
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To count from 1 to 213,222,240 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 213222240 cubic inches would be around 49.8 feet tall.
Recreational maths with 213222240
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