223813920
223,813,920 is an even composite number composed of seven prime numbers multiplied together.
223813920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 223813920:
25 × 3 × 5 × 11 × 19 × 23 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 19 × 23 × 97)See below for interesting mathematical facts about the number 223813920 from the Numbermatics database.
Names of 223813920
- Cardinal: 223813920 can be written as Two hundred twenty-three million, eight hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 2.2381392 × 108
Factors of 223813920
Divisors of 223813920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 23 24 30 32 33 38 40 44 46 48 55 57 60 66 69 76 80 88 92 95 96 97 110 114 115 120 132 138 152 160 165 176 184 190 194 209 220 228 230 240 253 264 276 285 291 304 330 345 352 368 380 388 418 437 440 456 460 480 485 506 528 552 570 582 608 627 660 690 736 759 760 776 836 874 880 912 920 970 1012 1045 1056 1067 1104 1140 1164 1254 1265 1311 1320 1380 1455 1518 1520 1552 1672 1748 1760 1824 1840 1843 1940 2024 2090 2134 2185 2208 2231 2280 2328 2508 2530 2622 2640 2760 2910 3036 3040 3104 3135 3201 3344 3496 3680 3686 3795 3880 4048 4180 4268 4370 4462 4560 4656 4807 5016 5060 5244 5280 5335 5520 5529 5820 6072 6270 6402 6555 6688 6693 6992 7372 7590 7760 8096 8360 8536 8740 8924 9120 9215 9312 9614 10032 10120 10488 10670 11040 11058 11155 11640 12144 12540 12804 13110 13386 13984 14421 14744 15180 15520 16005 16720 17072 17480 17848 18430 19228 20064 20240 20273 20976 21340 22116 22310 23280 24035 24288 24541 25080 25608 26220 26772 27645 28842 29488 30360 32010 33440 33465 34144 34960 35696 36860 38456 40480 40546 41952 42389 42680 44232 44620 46560 48070 49082 50160 51216 52440 53544 55290 57684 58976 60720 60819 64020 66930 69920 71392 72105 73623 73720 76912 81092 84778 85360 88464 89240 96140 98164 100320 101365 102432 104880 107088 110580 115368 121440 121638 122705 127167 128040 133860 144210 147246 147440 153824 162184 169556 170720 176928 178480 192280 196328 202730 209760 211945 214176 221160 230736 243276 245410 254334 256080 267720 288420 294492 294880 304095 324368 339112 356960 368115 384560 392656 405460 423890 442320 461472 466279 486552 490820 508668 512160 535440 576840 588984 608190 635835 648736 678224 736230 769120 785312 810920 847780 884640 932558 973104 981640 1017336 1070880 1153680 1177968 1216380 1271670 1356448 1398837 1472460 1621840 1695560 1865116 1946208 1963280 2034672 2307360 2331395 2355936 2432760 2543340 2797674 2944920 3243680 3391120 3730232 3926560 4069344 4662790 4865520 5086680 5595348 5889840 6782240 6994185 7460464 9325580 9731040 10173360 11190696 11779680 13988370 14920928 18651160 20346720 22381392 27976740 37302320 44762784 55953480 74604640 111906960 223813920
- Sum of all divisors σ(n): 853493760
- Sum of proper divisors (its aliquot sum) s(n): 629679840
- 223813920 is an abundant number, because the sum of its proper divisors (629679840) is greater than itself. Its abundance is 405865920
Bases of 223813920
- Binary: 11010101011100100001001000002
- Hexadecimal: 0xD572120
- Base-36: 3P93XC
Squares and roots of 223813920
- 223813920 squared (2238139202) is 50092670785766400
- 223813920 cubed (2238139203) is 11211437011831858188288000
-
The
square root of 223813920 is 14960.4117590393 -
The
cube root of 223813920 is 607.1495785975
Scales and comparisons
How big is 223813920?- 223,813,920 seconds is equal to 7 years, 6 weeks, 10 hours, 32 minutes.
-
To count from 1 to 223,813,920 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 223813920 cubic inches would be around 50.6 feet tall.
Recreational maths with 223813920
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 223813920 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 223813920 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/223813920/
Chicago style:
Numbermatics. 2024. "Number 223813920 - Facts about the integer". https://numbermatics.com/n/223813920/
The information we have on file for 223813920 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 223813920, math, Factors of 223813920, curriculum, school, college, exams, university, Prime factorization of 223813920, STEM, science, technology, engineering, physics, economics, calculator, two hundred twenty-three million, eight hundred thirteen thousand, nine hundred twenty.