480229200
480,229,200 is an even composite number composed of six prime numbers multiplied together.
480229200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 480229200:
24 × 32 × 52 × 11 × 67 × 181
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 67 × 181)See below for interesting mathematical facts about the number 480229200 from the Numbermatics database.
Names of 480229200
- Cardinal: 480229200 can be written as Four hundred eighty million, two hundred twenty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.802292 × 108
Factors of 480229200
Divisors of 480229200
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 44 45 48 50 55 60 66 67 72 75 80 88 90 99 100 110 120 132 134 144 150 165 176 180 181 198 200 201 220 225 240 264 268 275 300 330 335 360 362 396 400 402 440 450 495 528 536 543 550 600 603 660 670 720 724 737 792 804 825 880 900 905 990 1005 1072 1086 1100 1200 1206 1320 1340 1448 1474 1584 1608 1629 1650 1675 1800 1810 1980 1991 2010 2172 2200 2211 2412 2475 2640 2680 2715 2896 2948 3015 3216 3258 3300 3350 3600 3620 3685 3960 3982 4020 4344 4400 4422 4525 4824 4950 5025 5360 5430 5896 5973 6030 6516 6600 6633 6700 7240 7370 7920 7964 8040 8145 8688 8844 9050 9648 9900 9955 10050 10860 11055 11792 11946 12060 12127 13032 13200 13266 13400 13575 14480 14740 15075 15928 16080 16290 17688 17919 18100 18425 19800 19910 20100 21720 22110 23892 24120 24254 26064 26532 26800 27150 29480 29865 30150 31856 32580 33165 35376 35838 36200 36381 36850 39600 39820 40200 40725 43440 44220 47784 48240 48508 49775 53064 54300 55275 58960 59730 60300 60635 65160 66330 71676 72400 72762 73700 79640 80400 81450 88440 89595 95568 97016 99550 106128 108600 109143 110550 119460 120600 121270 130320 132660 133397 143352 145524 147400 149325 159280 162900 165825 176880 179190 181905 194032 199100 217200 218286 221100 238920 241200 242540 265320 266794 286704 291048 294800 298650 303175 325800 331650 358380 363810 398200 400191 436572 442200 447975 477840 485080 530640 533588 545715 582096 597300 606350 651600 663300 666985 716760 727620 796400 800382 873144 884400 895950 909525 970160 1067176 1091430 1194600 1200573 1212700 1326600 1333970 1433520 1455240 1600764 1746288 1791900 1819050 2000955 2134352 2182860 2389200 2401146 2425400 2653200 2667940 2728575 2910480 3201528 3334925 3583800 3638100 4001910 4365720 4802292 4850800 5335880 5457150 6002865 6403056 6669850 7167600 7276200 8003820 8731440 9604584 10004775 10671760 10914300 12005730 13339700 14552400 16007640 19209168 20009550 21828600 24011460 26679400 30014325 32015280 40019100 43657200 48022920 53358800 60028650 80038200 96045840 120057300 160076400 240114600 480229200
- Sum of all divisors σ(n): 1855360416
- Sum of proper divisors (its aliquot sum) s(n): 1375131216
- 480229200 is an abundant number, because the sum of its proper divisors (1375131216) is greater than itself. Its abundance is 894902016
Bases of 480229200
- Binary: 111001001111110110111010100002
- Hexadecimal: 0x1C9FB750
- Base-36: 7XWZ80
Squares and roots of 480229200
- 480229200 squared (4802292002) is 230620084532640000
- 480229200 cubed (4802292003) is 110750498699042081088000000
-
The
square root of 480229200 is 21914.1324263591 -
The
cube root of 480229200 is 783.0981316897
Scales and comparisons
How big is 480229200?- 480,229,200 seconds is equal to 15 years, 14 weeks, 5 hours.
-
To count from 1 to 480,229,200 would take you about twenty-two 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 480229200 cubic inches would be around 65.3 feet tall.
Recreational maths with 480229200
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 480229200 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 480229200 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/480229200/
Chicago style:
Numbermatics. 2024. "Number 480229200 - Facts about the integer". https://numbermatics.com/n/480229200/
The information we have on file for 480229200 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 480229200, math, Factors of 480229200, curriculum, school, college, exams, university, Prime factorization of 480229200, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty million, two hundred twenty-nine thousand, two hundred.