164225664
164,225,664 is an even composite number composed of five prime numbers multiplied together.
164225664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 164225664:
27 × 33 × 19 × 41 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 41 × 61)See below for interesting mathematical facts about the number 164225664 from the Numbermatics database.
Names of 164225664
- Cardinal: 164225664 can be written as One hundred sixty-four million, two hundred twenty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.64225664 × 108
Factors of 164225664
Divisors of 164225664
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 41 48 54 57 61 64 72 76 82 96 108 114 122 123 128 144 152 164 171 183 192 216 228 244 246 288 304 328 342 366 369 384 432 456 488 492 513 549 576 608 656 684 732 738 779 864 912 976 984 1026 1098 1107 1152 1159 1216 1312 1368 1464 1476 1558 1647 1728 1824 1952 1968 2052 2196 2214 2318 2337 2432 2501 2624 2736 2928 2952 3116 3294 3456 3477 3648 3904 3936 4104 4392 4428 4636 4674 5002 5248 5472 5856 5904 6232 6588 6954 7011 7296 7503 7808 7872 8208 8784 8856 9272 9348 10004 10431 10944 11712 11808 12464 13176 13908 14022 15006 15744 16416 17568 17712 18544 18696 20008 20862 21033 21888 22509 23424 23616 24928 26352 27816 28044 30012 31293 32832 35136 35424 37088 37392 40016 41724 42066 45018 47232 47519 49856 52704 55632 56088 60024 62586 65664 67527 70272 70848 74176 74784 80032 83448 84132 90036 95038 99712 105408 111264 112176 120048 125172 135054 141696 142557 148352 149568 160064 166896 168264 180072 190076 210816 222528 224352 240096 250344 270108 285114 299136 320128 333792 336528 360144 380152 427671 445056 448704 480192 500688 540216 570228 667584 673056 720288 760304 855342 897408 960384 1001376 1080432 1140456 1283013 1335168 1346112 1440576 1520608 1710684 2002752 2160864 2280912 2566026 2692224 2881152 3041216 3421368 4005504 4321728 4561824 5132052 6082432 6842736 8643456 9123648 10264104 13685472 18247296 20528208 27370944 41056416 54741888 82112832 164225664
- Sum of all divisors σ(n): 531216000
- Sum of proper divisors (its aliquot sum) s(n): 366990336
- 164225664 is an abundant number, because the sum of its proper divisors (366990336) is greater than itself. Its abundance is 202764672
Bases of 164225664
- Binary: 10011100100111100010100000002
- Hexadecimal: 0x9C9E280
- Base-36: 2PRXC0
Squares and roots of 164225664
- 164225664 squared (1642256642) is 26970068716240896
- 164225664 cubed (1642256643) is 4429177443050288729554944
-
The
square root of 164225664 is 12815.0561450193 -
The
cube root of 164225664 is 547.6213129565
Scales and comparisons
How big is 164225664?- 164,225,664 seconds is equal to 5 years, 11 weeks, 3 days, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 164,225,664 would take you about seven 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 164225664 cubic inches would be around 45.6 feet tall.
Recreational maths with 164225664
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