230348800
230,348,800 is an even composite number composed of four prime numbers multiplied together.
230348800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 230348800:
211 × 52 × 11 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 409)See below for interesting mathematical facts about the number 230348800 from the Numbermatics database.
Names of 230348800
- Cardinal: 230348800 can be written as Two hundred thirty million, three hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.303488 × 108
Factors of 230348800
Divisors of 230348800
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 409 440 512 550 640 704 800 818 880 1024 1100 1280 1408 1600 1636 1760 2045 2048 2200 2560 2816 3200 3272 3520 4090 4400 4499 5120 5632 6400 6544 7040 8180 8800 8998 10225 10240 11264 12800 13088 14080 16360 17600 17996 20450 22495 22528 25600 26176 28160 32720 35200 35992 40900 44990 51200 52352 56320 65440 70400 71984 81800 89980 104704 112475 112640 130880 140800 143968 163600 179960 209408 224950 261760 281600 287936 327200 359920 418816 449900 523520 563200 575872 654400 719840 837632 899800 1047040 1151744 1308800 1439680 1799600 2094080 2303488 2617600 2879360 3599200 4188160 4606976 5235200 5758720 7198400 9213952 10470400 11517440 14396800 20940800 23034880 28793600 46069760 57587200 115174400 230348800
- Sum of all divisors σ(n): 624569400
- Sum of proper divisors (its aliquot sum) s(n): 394220600
- 230348800 is an abundant number, because the sum of its proper divisors (394220600) is greater than itself. Its abundance is 163871800
Bases of 230348800
- Binary: 11011011101011011000000000002
- Hexadecimal: 0xDBAD800
- Base-36: 3T569S
Squares and roots of 230348800
- 230348800 squared (2303488002) is 53060569661440000
- 230348800 cubed (2303488003) is 12222438548829110272000000
-
The
square root of 230348800 is 15177.2461270151 -
The
cube root of 230348800 is 613.0021316213
Scales and comparisons
How big is 230348800?- 230,348,800 seconds is equal to 7 years, 16 weeks, 6 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 230,348,800 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 230348800 cubic inches would be around 51.1 feet tall.
Recreational maths with 230348800
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