230211828
230,211,828 is an even composite number composed of seven prime numbers multiplied together.
230211828 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 230211828:
22 × 33 × 7 × 11 × 19 × 31 × 47
(2 × 2 × 3 × 3 × 3 × 7 × 11 × 19 × 31 × 47)See below for interesting mathematical facts about the number 230211828 from the Numbermatics database.
Names of 230211828
- Cardinal: 230211828 can be written as Two hundred thirty million, two hundred eleven thousand, eight hundred twenty-eight.
Scientific notation
- Scientific notation: 2.30211828 × 108
Factors of 230211828
Divisors of 230211828
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 18 19 21 22 27 28 31 33 36 38 42 44 47 54 57 62 63 66 76 77 84 93 94 99 108 114 124 126 132 133 141 154 171 186 188 189 198 209 217 228 231 252 266 279 282 297 308 329 341 342 372 378 396 399 418 423 434 462 513 517 532 558 564 589 594 627 651 658 682 684 693 756 798 836 837 846 868 893 924 987 1023 1026 1034 1116 1178 1188 1197 1254 1269 1302 1316 1364 1386 1457 1463 1551 1596 1674 1692 1767 1786 1881 1953 1974 2046 2052 2068 2079 2356 2387 2394 2508 2538 2604 2679 2772 2914 2926 2961 3069 3102 3348 3534 3572 3591 3619 3762 3906 3948 4092 4123 4158 4371 4389 4653 4774 4788 5076 5301 5358 5643 5828 5852 5859 5922 6138 6204 6251 6479 7068 7161 7182 7238 7524 7812 8037 8246 8316 8742 8778 8883 9207 9306 9548 9823 10199 10602 10716 10857 11286 11718 11844 12276 12369 12502 12958 13113 13167 13959 14322 14364 14476 15903 16027 16074 16492 17484 17556 17766 18414 18612 18753 19437 19646 20398 21204 21483 21714 22572 23436 24111 24738 25004 25916 26226 26334 27683 27918 28644 29469 30597 31806 32054 32148 32571 35532 36828 37107 37506 38874 39292 39339 39501 40796 42966 43428 45353 48081 48222 49476 52452 52668 55366 55836 56259 58311 58938 61194 63612 64108 64449 65142 68761 74214 75012 77748 78678 79002 83049 85932 88407 90706 91791 96162 96444 97713 110732 111321 112189 112518 116622 117876 122388 128898 130284 136059 137522 144243 148428 157356 158004 166098 168777 174933 176814 181412 183582 192324 193781 195426 206283 222642 224378 225036 233244 249147 257796 265221 272118 275044 275373 288486 304513 332196 336567 337554 349866 353628 367164 387562 390852 408177 412566 432729 445284 448756 498294 530442 544236 550746 576972 581343 609026 618849 673134 675108 699732 747441 775124 816354 825132 865458 913539 996588 1009701 1060884 1101492 1162686 1218052 1224531 1237698 1346268 1494882 1632708 1730916 1744029 1827078 1856547 2019402 2131591 2325372 2449062 2475396 2740617 2989764 3029103 3488058 3654156 3713094 4038804 4263182 4898124 5232087 5481234 6058206 6394773 6976116 7426188 8221851 8526364 10464174 10962468 12116412 12789546 16443702 19184319 20928348 25579092 32887404 38368638 57552957 76737276 115105914 230211828
- Sum of all divisors σ(n): 825753600
- Sum of proper divisors (its aliquot sum) s(n): 595541772
- 230211828 is an abundant number, because the sum of its proper divisors (595541772) is greater than itself. Its abundance is 365329944
Bases of 230211828
- Binary: 11011011100011000000111101002
- Hexadecimal: 0xDB8C0F4
- Base-36: 3T28L0
Squares and roots of 230211828
- 230211828 squared (2302118282) is 52997485751101584
- 230211828 cubed (2302118283) is 12200648074165048666335552
-
The
square root of 230211828 is 15172.7330431929 -
The
cube root of 230211828 is 612.8806046501
Scales and comparisons
How big is 230211828?- 230,211,828 seconds is equal to 7 years, 16 weeks, 4 days, 11 hours, 43 minutes, 48 seconds.
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To count from 1 to 230,211,828 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 230211828 cubic inches would be around 51.1 feet tall.
Recreational maths with 230211828
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