228735360
228,735,360 is an even composite number composed of six prime numbers multiplied together.
228735360 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 228735360:
27 × 33 × 5 × 7 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 31 × 61)See below for interesting mathematical facts about the number 228735360 from the Numbermatics database.
Names of 228735360
- Cardinal: 228735360 can be written as Two hundred twenty-eight million, seven hundred thirty-five thousand, three hundred sixty.
Scientific notation
- Scientific notation: 2.2873536 × 108
Factors of 228735360
Divisors of 228735360
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 54 56 60 61 62 63 64 70 72 80 84 90 93 96 105 108 112 120 122 124 126 128 135 140 144 155 160 168 180 183 186 189 192 210 216 217 224 240 244 248 252 270 279 280 288 305 310 315 320 336 360 366 372 378 384 420 427 432 434 448 465 480 488 496 504 540 549 558 560 576 610 620 630 640 651 672 720 732 744 756 837 840 854 864 868 896 915 930 945 960 976 992 1008 1080 1085 1098 1116 1120 1152 1220 1240 1260 1281 1302 1344 1395 1440 1464 1488 1512 1647 1674 1680 1708 1728 1736 1830 1860 1890 1891 1920 1952 1953 1984 2016 2135 2160 2170 2196 2232 2240 2440 2480 2520 2562 2604 2688 2745 2790 2880 2928 2976 3024 3255 3294 3348 3360 3416 3456 3472 3660 3720 3780 3782 3843 3904 3906 3968 4032 4185 4270 4320 4340 4392 4464 4480 4880 4960 5040 5124 5208 5490 5580 5673 5760 5856 5859 5952 6048 6405 6510 6588 6696 6720 6832 6944 7320 7440 7560 7564 7686 7808 7812 8064 8235 8370 8540 8640 8680 8784 8928 9455 9760 9765 9920 10080 10248 10416 10980 11160 11346 11529 11712 11718 11904 12096 12810 13020 13176 13237 13392 13440 13664 13888 14640 14880 15120 15128 15372 15624 16470 16740 17019 17080 17280 17360 17568 17856 18910 19215 19520 19530 19840 20160 20496 20832 21960 22320 22692 23058 23424 23436 24192 25620 26040 26352 26474 26784 27328 27776 28365 29280 29295 29760 30240 30256 30744 31248 32940 33480 34038 34160 34720 35136 35712 37820 38430 39040 39060 39711 40320 40992 41664 43920 44640 45384 46116 46872 51057 51240 52080 52704 52948 53568 54656 56730 57645 58560 58590 59520 60480 60512 61488 62496 65880 66185 66960 68076 68320 69440 70272 75640 76860 78120 79422 81984 83328 85095 87840 89280 90768 92232 93744 102114 102480 104160 105408 105896 107136 113460 115290 117120 117180 119133 120960 121024 122976 124992 131760 132370 133920 136152 136640 138880 151280 153720 156240 158844 163968 170190 175680 178560 181536 184464 187488 198555 204228 204960 208320 210816 211792 226920 230580 234360 238266 242048 245952 249984 255285 263520 264740 267840 272304 273280 302560 307440 312480 317688 340380 351360 357399 363072 368928 374976 397110 408456 409920 416640 423584 453840 461160 468720 476532 491904 510570 527040 529480 535680 544608 595665 605120 614880 624960 635376 680760 714798 726144 737856 749952 794220 816912 819840 847168 907680 922320 937440 953064 1021140 1054080 1058960 1089216 1191330 1210240 1229760 1249920 1270752 1361520 1429596 1475712 1588440 1633824 1694336 1786995 1815360 1844640 1874880 1906128 2042280 2117920 2178432 2382660 2459520 2541504 2723040 2859192 3176880 3267648 3573990 3630720 3689280 3749760 3812256 4084560 4235840 4765320 5083008 5446080 5718384 6353760 6535296 7147980 7378560 7624512 8169120 8471680 9530640 10892160 11436768 12707520 14295960 15249024 16338240 19061280 22873536 25415040 28591920 32676480 38122560 45747072 57183840 76245120 114367680 228735360
- Sum of all divisors σ(n): 971366400
- Sum of proper divisors (its aliquot sum) s(n): 742631040
- 228735360 is an abundant number, because the sum of its proper divisors (742631040) is greater than itself. Its abundance is 513895680
Bases of 228735360
- Binary: 11011010001000111001100000002
- Hexadecimal: 0xDA23980
- Base-36: 3S6LC0
Squares and roots of 228735360
- 228735360 squared (2287353602) is 52319864914329600
- 228735360 cubed (2287353603) is 11967403136330550214656000
-
The
square root of 228735360 is 15123.9994710393 -
The
cube root of 228735360 is 611.5675530153
Scales and comparisons
How big is 228735360?- 228,735,360 seconds is equal to 7 years, 14 weeks, 1 day, 9 hours, 36 minutes.
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To count from 1 to 228,735,360 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 228735360 cubic inches would be around 51 feet tall.
Recreational maths with 228735360
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