213007200
213,007,200 is an even composite number composed of six prime numbers multiplied together.
213007200 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 213007200:
25 × 3 × 52 × 7 × 31 × 409
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 31 × 409)See below for interesting mathematical facts about the number 213007200 from the Numbermatics database.
Names of 213007200
- Cardinal: 213007200 can be written as Two hundred thirteen million, seven thousand, two hundred.
Scientific notation
- Scientific notation: 2.130072 × 108
Factors of 213007200
Divisors of 213007200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 56 60 62 70 75 80 84 93 96 100 105 112 120 124 140 150 155 160 168 175 186 200 210 217 224 240 248 280 300 310 336 350 372 400 409 420 434 465 480 496 525 560 600 620 651 672 700 744 775 800 818 840 868 930 992 1050 1085 1120 1200 1227 1240 1302 1400 1488 1550 1636 1680 1736 1860 2045 2100 2170 2325 2400 2454 2480 2604 2800 2863 2976 3100 3255 3272 3360 3472 3720 4090 4200 4340 4650 4908 4960 5208 5425 5600 5726 6135 6200 6510 6544 6944 7440 8180 8400 8589 8680 9300 9816 10225 10416 10850 11452 12270 12400 12679 13020 13088 14315 14880 16275 16360 16800 17178 17360 18600 19632 20450 20832 21700 22904 24540 24800 25358 26040 28630 30675 32550 32720 34356 34720 37200 38037 39264 40900 42945 43400 45808 49080 50716 52080 57260 61350 63395 65100 65440 68712 71575 74400 76074 81800 85890 86800 88753 91616 98160 101432 104160 114520 122700 126790 130200 137424 143150 152148 163600 171780 173600 177506 190185 196320 202864 214725 229040 245400 253580 260400 266259 274848 286300 304296 316975 327200 343560 355012 380370 405728 429450 443765 458080 490800 507160 520800 532518 572600 608592 633950 687120 710024 760740 858900 887530 950925 981600 1014320 1065036 1145200 1217184 1267900 1331295 1374240 1420048 1521480 1717800 1775060 1901850 2028640 2130072 2218825 2290400 2535800 2662590 2840096 3042960 3435600 3550120 3803700 4260144 4437650 5071600 5325180 6085920 6656475 6871200 7100240 7607400 8520288 8875300 10143200 10650360 13312950 14200480 15214800 17750600 21300720 26625900 30429600 35501200 42601440 53251800 71002400 106503600 213007200
- Sum of all divisors σ(n): 819947520
- Sum of proper divisors (its aliquot sum) s(n): 606940320
- 213007200 is an abundant number, because the sum of its proper divisors (606940320) is greater than itself. Its abundance is 393933120
Bases of 213007200
- Binary: 11001011001000111011011000002
- Hexadecimal: 0xCB23B60
- Base-36: 3ITHEO
Squares and roots of 213007200
- 213007200 squared (2130072002) is 45372067251840000
- 213007200 cubed (2130072003) is 9664577003526133248000000
-
The
square root of 213007200 is 14594.7661851773 -
The
cube root of 213007200 is 597.2159910253
Scales and comparisons
How big is 213007200?- 213,007,200 seconds is equal to 6 years, 40 weeks, 1 day, 8 hours, 40 minutes.
-
To count from 1 to 213,007,200 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 213007200 cubic inches would be around 49.8 feet tall.
Recreational maths with 213007200
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 213007200 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.
APA style:
Numbermatics. (2024). Number 213007200 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/213007200/
Chicago style:
Numbermatics. 2024. "Number 213007200 - Facts about the integer". https://numbermatics.com/n/213007200/
The information we have on file for 213007200 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!
Keywords: Divisors of 213007200, math, Factors of 213007200, curriculum, school, college, exams, university, Prime factorization of 213007200, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen million, seven thousand, two hundred.