225008448
225,008,448 is an even composite number composed of six prime numbers multiplied together.
What does the number 225008448 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
225008448 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 225008448:
26 × 3 × 7 × 23 × 29 × 251
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 23 × 29 × 251)See below for interesting mathematical facts about the number 225008448 from the Numbermatics database.
Names of 225008448
- Cardinal: 225008448 can be written as Two hundred twenty-five million, eight thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 2.25008448 × 108
Factors of 225008448
Divisors of 225008448
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 29 32 42 46 48 56 58 64 69 84 87 92 96 112 116 138 161 168 174 184 192 203 224 232 251 276 322 336 348 368 406 448 464 483 502 552 609 644 667 672 696 736 753 812 928 966 1004 1104 1218 1288 1334 1344 1392 1472 1506 1624 1757 1856 1932 2001 2008 2208 2436 2576 2668 2784 3012 3248 3514 3864 4002 4016 4416 4669 4872 5152 5271 5336 5568 5773 6024 6496 7028 7279 7728 8004 8032 9338 9744 10304 10542 10672 11546 12048 12992 14007 14056 14558 15456 16008 16064 17319 18676 19488 21084 21344 21837 23092 24096 28014 28112 29116 30912 32016 34638 37352 38976 40411 42168 42688 43674 46184 48192 50953 56028 56224 58232 64032 69276 74704 80822 84336 87348 92368 101906 112056 112448 116464 121233 128064 138552 149408 152859 161644 167417 168672 174696 184736 203812 224112 232928 242466 277104 298816 305718 323288 334834 337344 349392 369472 407624 448224 465856 484932 502251 554208 611436 646576 669668 698784 815248 896448 969864 1004502 1108416 1171919 1222872 1293152 1339336 1397568 1630496 1939728 2009004 2343838 2445744 2586304 2678672 3260992 3515757 3879456 4018008 4687676 4891488 5357344 7031514 7758912 8036016 9375352 9782976 10714688 14063028 16072032 18750704 28126056 32144064 37501408 56252112 75002816 112504224 225008448
- Sum of all divisors σ(n): 737372160
- Sum of proper divisors (its aliquot sum) s(n): 512363712
- 225008448 is an abundant number, because the sum of its proper divisors (512363712) is greater than itself. Its abundance is 287355264
Bases of 225008448
- Binary: 11010110100101011011010000002
- Hexadecimal: 0xD695B40
- Base-36: 3PYPMO
Squares and roots of 225008448
- 225008448 squared (2250084482) is 50628801671368704
- 225008448 cubed (2250084483) is 11391908088174478122811392
-
The
square root of 225008448 is 15000.2815973567 -
The
cube root of 225008448 is 608.2278116757
Scales and comparisons
How big is 225008448?- 225,008,448 seconds is equal to 7 years, 8 weeks, 6 hours, 20 minutes, 48 seconds.
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To count from 1 to 225,008,448 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 225008448 cubic inches would be around 50.7 feet tall.
Recreational maths with 225008448
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The information we have on file for 225008448 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 225008448, math, Factors of 225008448, curriculum, school, college, exams, university, Prime factorization of 225008448, STEM, science, technology, engineering, physics, economics, calculator, two hundred twenty-five million, eight thousand, four hundred forty-eight.