231830400
231,830,400 is an even composite number composed of six prime numbers multiplied together.
231830400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 231830400:
27 × 3 × 52 × 19 × 31 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 31 × 41)See below for interesting mathematical facts about the number 231830400 from the Numbermatics database.
Names of 231830400
- Cardinal: 231830400 can be written as Two hundred thirty-one million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 2.318304 × 108
Factors of 231830400
Divisors of 231830400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 31 32 38 40 41 48 50 57 60 62 64 75 76 80 82 93 95 96 100 114 120 123 124 128 150 152 155 160 164 186 190 192 200 205 228 240 246 248 285 300 304 310 320 328 372 380 384 400 410 456 465 475 480 492 496 570 589 600 608 615 620 640 656 744 760 775 779 800 820 912 930 950 960 984 992 1025 1140 1178 1200 1216 1230 1240 1271 1312 1425 1488 1520 1550 1558 1600 1640 1767 1824 1860 1900 1920 1968 1984 2050 2280 2325 2337 2356 2400 2432 2460 2480 2542 2624 2850 2945 2976 3040 3075 3100 3116 3200 3280 3534 3648 3720 3800 3813 3895 3936 3968 4100 4560 4650 4674 4712 4800 4920 4960 5084 5248 5700 5890 5952 6080 6150 6200 6232 6355 6560 7068 7296 7440 7600 7626 7790 7872 8200 8835 9120 9300 9348 9424 9600 9840 9920 10168 11400 11685 11780 11904 12160 12300 12400 12464 12710 13120 14136 14725 14880 15200 15252 15580 15744 16400 17670 18240 18600 18696 18848 19065 19475 19680 19840 20336 22800 23370 23560 24149 24600 24800 24928 25420 26240 28272 29450 29760 30400 30504 31160 31775 32800 35340 36480 37200 37392 37696 38130 38950 39360 40672 44175 45600 46740 47120 48298 49200 49600 49856 50840 56544 58425 58900 59520 60800 61008 62320 63550 65600 70680 72447 74400 74784 75392 76260 77900 78720 81344 88350 91200 93480 94240 95325 96596 98400 99200 99712 101680 113088 116850 117800 120745 122016 124640 127100 131200 141360 144894 148800 149568 152520 155800 162688 176700 182400 186960 188480 190650 193192 196800 203360 226176 233700 235600 241490 244032 249280 254200 282720 289788 297600 299136 305040 311600 353400 362235 373920 376960 381300 386384 393600 406720 467400 471200 482980 488064 498560 508400 565440 579576 603725 610080 623200 706800 724470 747840 762600 772768 813440 934800 942400 965960 1016800 1130880 1159152 1207450 1220160 1246400 1413600 1448940 1495680 1525200 1545536 1811175 1869600 1884800 1931920 2033600 2318304 2414900 2440320 2492800 2827200 2897880 3050400 3091072 3622350 3739200 3863840 4067200 4636608 4829800 5654400 5795760 6100800 7244700 7478400 7727680 9273216 9659600 11591520 12201600 14489400 15455360 19319200 23183040 28978800 38638400 46366080 57957600 77276800 115915200 231830400
- Sum of all divisors σ(n): 849945600
- Sum of proper divisors (its aliquot sum) s(n): 618115200
- 231830400 is an abundant number, because the sum of its proper divisors (618115200) is greater than itself. Its abundance is 386284800
Bases of 231830400
- Binary: 11011101000101110011100000002
- Hexadecimal: 0xDD17380
- Base-36: 3U0XHC
Squares and roots of 231830400
- 231830400 squared (2318304002) is 53745334364160000
- 231830400 cubed (2318304003) is 12459802363776958464000000
-
The
square root of 231830400 is 15225.9778011135 -
The
cube root of 231830400 is 614.3135973333
Scales and comparisons
How big is 231830400?- 231,830,400 seconds is equal to 7 years, 19 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 231,830,400 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 231830400 cubic inches would be around 51.2 feet tall.
Recreational maths with 231830400
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