230788440
230,788,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 230788440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
230788440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 230788440:
23 × 34 × 5 × 19 × 23 × 163
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 19 × 23 × 163)See below for interesting mathematical facts about the number 230788440 from the Numbermatics database.
Names of 230788440
- Cardinal: 230788440 can be written as Two hundred thirty million, seven hundred eighty-eight thousand, four hundred forty.
Scientific notation
- Scientific notation: 2.3078844 × 108
Factors of 230788440
Divisors of 230788440
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 19 20 23 24 27 30 36 38 40 45 46 54 57 60 69 72 76 81 90 92 95 108 114 115 120 135 138 152 162 163 171 180 184 190 207 216 228 230 270 276 285 324 326 342 345 360 380 405 414 437 456 460 489 513 540 552 570 621 648 652 684 690 760 810 815 828 855 874 920 978 1026 1035 1080 1140 1242 1304 1311 1368 1380 1467 1539 1620 1630 1656 1710 1748 1863 1956 2052 2070 2185 2280 2445 2484 2565 2622 2760 2934 3078 3097 3105 3240 3260 3420 3496 3726 3749 3912 3933 4104 4140 4370 4401 4890 4968 5130 5244 5868 6156 6194 6210 6520 6555 6840 7335 7452 7498 7695 7866 8280 8740 8802 9291 9315 9780 10260 10488 11247 11736 11799 12312 12388 12420 13110 13203 14670 14904 14996 15390 15485 15732 17480 17604 18582 18630 18745 19560 19665 20520 22005 22494 23598 24776 24840 26220 26406 27873 29340 29992 30780 30970 31464 33741 35208 35397 37164 37260 37490 39330 44010 44988 46455 47196 52440 52812 55746 56235 58680 58995 61560 61940 66015 67482 70794 71231 74328 74520 74980 78660 83619 88020 89976 92910 94392 101223 105624 111492 112470 117990 123880 132030 134964 139365 141588 142462 149960 157320 167238 168705 176040 176985 185820 202446 213693 222984 224940 235980 250857 264060 269928 278730 283176 284924 303669 334476 337410 353970 356155 371640 404892 418095 427386 449880 471960 501714 506115 528120 557460 569848 607338 641079 668952 674820 707940 712310 809784 836190 854772 1003428 1012230 1068465 1114920 1214676 1254285 1282158 1349640 1415880 1424620 1518345 1672380 1709544 1923237 2006856 2024460 2136930 2429352 2508570 2564316 2849240 3036690 3205395 3344760 3846474 4048920 4273860 5017140 5128632 5769711 6073380 6410790 7692948 8547720 9616185 10034280 11539422 12146760 12821580 15385896 19232370 23078844 25643160 28848555 38464740 46157688 57697110 76929480 115394220 230788440
- Sum of all divisors σ(n): 857260800
- Sum of proper divisors (its aliquot sum) s(n): 626472360
- 230788440 is an abundant number, because the sum of its proper divisors (626472360) is greater than itself. Its abundance is 395683920
Bases of 230788440
- Binary: 11011100000110001101010110002
- Hexadecimal: 0xDC18D58
- Base-36: 3TELI0
Squares and roots of 230788440
- 230788440 squared (2307884402) is 53263304037633600
- 230788440 cubed (2307884403) is 12292554848091159835584000
-
The
square root of 230788440 is 15191.7227462853 -
The
cube root of 230788440 is 613.3918724319
Scales and comparisons
How big is 230788440?- 230,788,440 seconds is equal to 7 years, 17 weeks, 4 days, 3 hours, 54 minutes.
-
To count from 1 to 230,788,440 would take you about eleven 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 230788440 cubic inches would be around 51.1 feet tall.
Recreational maths with 230788440
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 230788440 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 230788440 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/230788440/
Chicago style:
Numbermatics. 2024. "Number 230788440 - Facts about the integer". https://numbermatics.com/n/230788440/
The information we have on file for 230788440 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 230788440, math, Factors of 230788440, curriculum, school, college, exams, university, Prime factorization of 230788440, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty million, seven hundred eighty-eight thousand, four hundred forty.