228384000
228,384,000 is an even composite number composed of five prime numbers multiplied together.
228384000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 228384000:
28 × 32 × 53 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 61)See below for interesting mathematical facts about the number 228384000 from the Numbermatics database.
Names of 228384000
- Cardinal: 228384000 can be written as Two hundred twenty-eight million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.28384 × 108
Factors of 228384000
Divisors of 228384000
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 61 64 65 72 75 78 80 90 96 100 104 117 120 122 125 128 130 144 150 156 160 180 183 192 195 200 208 225 234 240 244 250 256 260 288 300 305 312 320 325 360 366 375 384 390 400 416 450 468 480 488 500 520 549 576 585 600 610 624 640 650 720 732 750 768 780 793 800 832 900 915 936 960 975 976 1000 1040 1098 1125 1152 1170 1200 1220 1248 1280 1300 1440 1464 1500 1525 1560 1586 1600 1625 1664 1800 1830 1872 1920 1950 1952 2000 2080 2196 2250 2304 2340 2379 2400 2440 2496 2600 2745 2880 2925 2928 3000 3050 3120 3172 3200 3250 3328 3600 3660 3744 3840 3900 3904 3965 4000 4160 4392 4500 4575 4680 4758 4800 4875 4880 4992 5200 5490 5760 5850 5856 6000 6100 6240 6344 6400 6500 7137 7200 7320 7488 7625 7800 7808 7930 8000 8320 8784 9000 9150 9360 9516 9600 9750 9760 9984 10400 10980 11520 11700 11712 11895 12000 12200 12480 12688 13000 13725 14274 14400 14625 14640 14976 15250 15600 15616 15860 16000 16640 17568 18000 18300 18720 19032 19200 19500 19520 19825 20800 21960 22875 23400 23424 23790 24000 24400 24960 25376 26000 27450 28548 28800 29250 29280 29952 30500 31200 31720 32000 35136 35685 36000 36600 37440 38064 39000 39040 39650 41600 43920 45750 46800 46848 47580 48000 48800 49920 50752 52000 54900 57096 57600 58500 58560 59475 61000 62400 63440 68625 70272 71370 72000 73200 74880 76128 78000 78080 79300 83200 87840 91500 93600 95160 96000 97600 99125 101504 104000 109800 114192 117000 117120 118950 122000 124800 126880 137250 140544 142740 144000 146400 149760 152256 156000 158600 175680 178425 183000 187200 190320 195200 198250 203008 208000 219600 228384 234000 234240 237900 244000 249600 253760 274500 285480 288000 292800 297375 304512 312000 317200 351360 356850 366000 374400 380640 390400 396500 416000 439200 456768 468000 475800 488000 507520 549000 570960 585600 594750 609024 624000 634400 702720 713700 732000 748800 761280 793000 878400 892125 913536 936000 951600 976000 1015040 1098000 1141920 1171200 1189500 1248000 1268800 1427400 1464000 1522560 1586000 1756800 1784250 1827072 1872000 1903200 1952000 2196000 2283840 2379000 2537600 2854800 2928000 3045120 3172000 3513600 3568500 3744000 3806400 4392000 4567680 4758000 5075200 5709600 5856000 6344000 7137000 7612800 8784000 9135360 9516000 11419200 12688000 14274000 15225600 17568000 19032000 22838400 25376000 28548000 38064000 45676800 57096000 76128000 114192000 228384000
- Sum of all divisors σ(n): 899515344
- Sum of proper divisors (its aliquot sum) s(n): 671131344
- 228384000 is an abundant number, because the sum of its proper divisors (671131344) is greater than itself. Its abundance is 442747344
Bases of 228384000
- Binary: 11011001110011011101000000002
- Hexadecimal: 0xD9CDD00
- Base-36: 3RZ280
Squares and roots of 228384000
- 228384000 squared (2283840002) is 52159251456000000
- 228384000 cubed (2283840003) is 11912338484527104000000000
-
The
square root of 228384000 is 15112.3790317741 -
The
cube root of 228384000 is 611.2542499109
Scales and comparisons
How big is 228384000?- 228,384,000 seconds is equal to 7 years, 13 weeks, 4 days, 8 hours.
-
To count from 1 to 228,384,000 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 228384000 cubic inches would be around 50.9 feet tall.
Recreational maths with 228384000
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