213085200
213,085,200 is an even composite number composed of six prime numbers multiplied together.
213085200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 213085200:
24 × 3 × 52 × 41 × 61 × 71
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 41 × 61 × 71)See below for interesting mathematical facts about the number 213085200 from the Numbermatics database.
Names of 213085200
- Cardinal: 213085200 can be written as Two hundred thirteen million, eighty-five thousand, two hundred.
Scientific notation
- Scientific notation: 2.130852 × 108
Factors of 213085200
Divisors of 213085200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 61 71 75 80 82 100 120 122 123 142 150 164 183 200 205 213 240 244 246 284 300 305 328 355 366 400 410 426 488 492 568 600 610 615 656 710 732 820 852 915 976 984 1025 1065 1136 1200 1220 1230 1420 1464 1525 1640 1704 1775 1830 1968 2050 2130 2440 2460 2501 2840 2911 2928 3050 3075 3280 3408 3550 3660 4100 4260 4331 4575 4880 4920 5002 5325 5680 5822 6100 6150 7100 7320 7503 8200 8520 8662 8733 9150 9840 10004 10650 11644 12200 12300 12505 12993 14200 14555 14640 15006 16400 17040 17324 17466 18300 20008 21300 21655 23288 24400 24600 25010 25986 28400 29110 30012 34648 34932 36600 37515 40016 42600 43310 43665 46576 49200 50020 51972 58220 60024 62525 64965 69296 69864 72775 73200 75030 85200 86620 87330 100040 103944 108275 116440 120048 125050 129930 139728 145550 150060 173240 174660 177571 187575 200080 207888 216550 218325 232880 250100 259860 291100 300120 324825 346480 349320 355142 375150 433100 436650 500200 519720 532713 582200 600240 649650 698640 710284 750300 866200 873300 887855 1000400 1039440 1065426 1164400 1299300 1420568 1500600 1732400 1746600 1775710 2130852 2598600 2663565 2841136 3001200 3493200 3551420 4261704 4439275 5197200 5327130 7102840 8523408 8878550 10654260 13317825 14205680 17757100 21308520 26635650 35514200 42617040 53271300 71028400 106542600 213085200
- Sum of all divisors σ(n): 720703872
- Sum of proper divisors (its aliquot sum) s(n): 507618672
- 213085200 is an abundant number, because the sum of its proper divisors (507618672) is greater than itself. Its abundance is 294533472
Bases of 213085200
- Binary: 11001011001101101100000100002
- Hexadecimal: 0xCB36C10
- Base-36: 3IV5LC
Squares and roots of 213085200
- 213085200 squared (2130852002) is 45405302459040000
- 213085200 cubed (2130852003) is 9675197955545030208000000
-
The
square root of 213085200 is 14597.4381313983 -
The
cube root of 213085200 is 597.2888792695
Scales and comparisons
How big is 213085200?- 213,085,200 seconds is equal to 6 years, 40 weeks, 2 days, 6 hours, 20 minutes.
-
To count from 1 to 213,085,200 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 213085200 cubic inches would be around 49.8 feet tall.
Recreational maths with 213085200
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The information we have on file for 213085200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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