224009968
224,009,968 is an even composite number composed of five prime numbers multiplied together.
224009968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 224009968:
24 × 72 × 13 × 31 × 709
(2 × 2 × 2 × 2 × 7 × 7 × 13 × 31 × 709)See below for interesting mathematical facts about the number 224009968 from the Numbermatics database.
Names of 224009968
- Cardinal: 224009968 can be written as Two hundred twenty-four million, nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 2.24009968 × 108
Factors of 224009968
Divisors of 224009968
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 49 52 56 62 91 98 104 112 124 182 196 208 217 248 364 392 403 434 496 637 709 728 784 806 868 1274 1418 1456 1519 1612 1736 2548 2821 2836 3038 3224 3472 4963 5096 5642 5672 6076 6448 9217 9926 10192 11284 11344 12152 18434 19747 19852 21979 22568 24304 34741 36868 39494 39704 43958 45136 64519 69482 73736 78988 79408 87916 129038 138964 147472 153853 157976 175832 258076 277928 285727 307706 315952 351664 451633 516152 555856 571454 615412 903266 1032304 1076971 1142908 1230824 1806532 2000089 2153942 2285816 2461648 3613064 4000178 4307884 4571632 7226128 8000356 8615768 14000623 16000712 17231536 28001246 32001424 56002492 112004984 224009968
- Sum of all divisors σ(n): 562047360
- Sum of proper divisors (its aliquot sum) s(n): 338037392
- 224009968 is an abundant number, because the sum of its proper divisors (338037392) is greater than itself. Its abundance is 114027424
Bases of 224009968
- Binary: 11010101101000011110111100002
- Hexadecimal: 0xD5A1EF0
- Base-36: 3PDB74
Squares and roots of 224009968
- 224009968 squared (2240099682) is 50180465763361024
- 224009968 cubed (2240099683) is 11240924529875598558687232
-
The
square root of 224009968 is 14966.9625508985 -
The
cube root of 224009968 is 607.3268027887
Scales and comparisons
How big is 224009968?- 224,009,968 seconds is equal to 7 years, 6 weeks, 2 days, 16 hours, 59 minutes, 28 seconds.
-
To count from 1 to 224,009,968 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 224009968 cubic inches would be around 50.6 feet tall.
Recreational maths with 224009968
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