213825150
213,825,150 is an even composite number composed of six prime numbers multiplied together.
213825150 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 213825150:
2 × 33 × 52 × 7 × 113 × 17
(2 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 11 × 11 × 17)See below for interesting mathematical facts about the number 213825150 from the Numbermatics database.
Names of 213825150
- Cardinal: 213825150 can be written as Two hundred thirteen million, eight hundred twenty-five thousand, one hundred fifty.
Scientific notation
- Scientific notation: 2.1382515 × 108
Factors of 213825150
Divisors of 213825150
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 5 6 7 9 10 11 14 15 17 18 21 22 25 27 30 33 34 35 42 45 50 51 54 55 63 66 70 75 77 85 90 99 102 105 110 119 121 126 135 150 153 154 165 170 175 187 189 198 210 225 231 238 242 255 270 275 297 306 315 330 350 357 363 374 378 385 425 450 459 462 495 510 525 550 561 594 595 605 630 675 693 714 726 765 770 825 847 850 918 935 945 990 1050 1071 1089 1122 1155 1190 1210 1275 1309 1331 1350 1386 1485 1530 1575 1650 1683 1694 1785 1815 1870 1890 1925 2057 2079 2142 2178 2295 2310 2475 2541 2550 2618 2662 2805 2970 2975 3025 3150 3213 3267 3366 3465 3570 3630 3825 3850 3927 3993 4114 4158 4235 4590 4675 4725 4950 5049 5082 5355 5445 5610 5775 5950 6050 6171 6426 6534 6545 6655 6930 7425 7623 7650 7854 7986 8415 8470 8925 9075 9317 9350 9450 10098 10285 10395 10710 10890 11475 11550 11781 11979 12342 12705 13090 13310 14025 14399 14850 15246 16065 16335 16830 17325 17850 18150 18513 18634 19635 19965 20570 20790 21175 22627 22869 22950 23562 23958 25245 25410 26775 27225 27951 28050 28798 30855 32130 32670 32725 33275 34650 35343 35937 37026 38115 39270 39930 42075 42350 43197 45254 45738 46585 50490 51425 51975 53550 54450 55539 55902 58905 59895 61710 63525 65450 66550 67881 70686 71874 71995 76230 80325 81675 83853 84150 86394 92565 93170 98175 99825 102850 103950 111078 113135 114345 117810 119790 126225 127050 129591 135762 139755 143990 154275 158389 160650 163350 167706 176715 179685 185130 190575 196350 199650 203643 215985 226270 228690 232925 251559 252450 259182 277695 279510 294525 299475 308550 316778 339405 353430 359370 359975 381150 388773 407286 419265 431970 462825 465850 475167 503118 555390 565675 571725 589050 598950 610929 647955 678810 698775 719950 777546 791945 838530 883575 898425 925650 950334 1018215 1079925 1131350 1143450 1221858 1257795 1295910 1388475 1397550 1425501 1583890 1697025 1767150 1796850 1943865 2036430 2096325 2159850 2375835 2515590 2776950 2851002 3054645 3239775 3394050 3887730 3959725 4192650 4276503 4751670 5091075 6109290 6288975 6479550 7127505 7919450 8553006 9719325 10182150 11879175 12577950 14255010 15273225 19438650 21382515 23758350 30546450 35637525 42765030 71275050 106912575 213825150
- Sum of all divisors σ(n): 784235520
- Sum of proper divisors (its aliquot sum) s(n): 570410370
- 213825150 is an abundant number, because the sum of its proper divisors (570410370) is greater than itself. Its abundance is 356585220
Bases of 213825150
- Binary: 11001011111010110110011111102
- Hexadecimal: 0xCBEB67E
- Base-36: 3JB0JI
Squares and roots of 213825150
- 213825150 squared (2138251502) is 45721194772522500
- 213825150 cubed (2138251503) is 9776341330413839440875000
-
The
square root of 213825150 is 14622.7613671289 -
The
cube root of 213825150 is 597.9794532899
Scales and comparisons
How big is 213825150?- 213,825,150 seconds is equal to 6 years, 41 weeks, 3 days, 19 hours, 52 minutes, 30 seconds.
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To count from 1 to 213,825,150 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 213825150 cubic inches would be around 49.8 feet tall.
Recreational maths with 213825150
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