228180120
228,180,120 is an even composite number composed of seven prime numbers multiplied together.
228180120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 228180120:
23 × 3 × 5 × 7 × 17 × 19 × 292
(2 × 2 × 2 × 3 × 5 × 7 × 17 × 19 × 29 × 29)See below for interesting mathematical facts about the number 228180120 from the Numbermatics database.
Names of 228180120
- Cardinal: 228180120 can be written as Two hundred twenty-eight million, one hundred eighty thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.2818012 × 108
Factors of 228180120
Divisors of 228180120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 17 19 20 21 24 28 29 30 34 35 38 40 42 51 56 57 58 60 68 70 76 84 85 87 95 102 105 114 116 119 120 133 136 140 145 152 168 170 174 190 203 204 210 228 232 238 255 266 280 285 290 323 340 348 357 380 399 406 408 420 435 456 476 493 510 532 551 570 580 595 609 646 665 680 696 714 760 798 812 840 841 870 952 969 986 1015 1020 1064 1102 1140 1160 1190 1218 1292 1330 1428 1479 1596 1615 1624 1653 1682 1740 1785 1938 1972 1995 2030 2040 2204 2261 2280 2380 2436 2465 2523 2584 2660 2755 2856 2958 3045 3192 3230 3306 3364 3451 3480 3570 3857 3876 3944 3990 4060 4205 4408 4522 4760 4845 4872 4930 5046 5320 5510 5887 5916 6090 6460 6612 6728 6783 6902 7140 7395 7714 7752 7980 8120 8265 8410 9044 9367 9690 9860 10092 10353 11020 11305 11571 11774 11832 12180 12615 12920 13224 13566 13804 14280 14297 14790 15428 15960 15979 16530 16820 17255 17661 18088 18734 19285 19380 19720 20184 20706 22040 22610 23142 23548 24360 25230 27132 27608 28101 28594 29435 29580 30856 31958 33060 33640 33915 34510 35322 37468 38570 38760 41412 42891 45220 46284 46835 47096 47937 50460 51765 54264 56202 57188 57855 58870 59160 63916 65569 66120 67830 69020 70644 71485 74936 77140 79895 82824 85782 88305 90440 92568 93670 95874 100079 100920 103530 111853 112404 114376 115710 117740 127832 131138 135660 138040 140505 141288 142970 154280 159790 171564 176610 187340 191748 196707 200158 207060 214455 223706 224808 231420 235480 239685 262276 271320 271643 281010 285940 300237 319580 327845 335559 343128 353220 374680 383496 393414 400316 414120 428910 447412 462840 479370 500395 524552 543286 559265 562020 571880 600474 639160 655690 671118 706440 786828 800632 814929 857820 894824 958740 983535 1000790 1086572 1118530 1124040 1200948 1311380 1342236 1358215 1501185 1573656 1629858 1677795 1715640 1901501 1917480 1967070 2001580 2173144 2237060 2401896 2622760 2684472 2716430 3002370 3259716 3355590 3803002 3934140 4003160 4074645 4474120 5432860 5704503 6004740 6519432 6711180 7606004 7868280 8149290 9507505 10865720 11409006 12009480 13422360 15212008 16298580 19015010 22818012 28522515 32597160 38030020 45636024 57045030 76060040 114090060 228180120
- Sum of all divisors σ(n): 903052800
- Sum of proper divisors (its aliquot sum) s(n): 674872680
- 228180120 is an abundant number, because the sum of its proper divisors (674872680) is greater than itself. Its abundance is 446692560
Bases of 228180120
- Binary: 11011001100111000000100110002
- Hexadecimal: 0xD99C098
- Base-36: 3RUOWO
Squares and roots of 228180120
- 228180120 squared (2281801202) is 52066167163214400
- 228180120 cubed (2281801203) is 11880464271242321377728000
-
The
square root of 228180120 is 15105.6320622475 -
The
cube root of 228180120 is 611.0723054393
Scales and comparisons
How big is 228180120?- 228,180,120 seconds is equal to 7 years, 13 weeks, 1 day, 23 hours, 22 minutes.
-
To count from 1 to 228,180,120 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 228180120 cubic inches would be around 50.9 feet tall.
Recreational maths with 228180120
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