820221006

820,221,006 is an even composite number composed of five prime numbers multiplied together.

What does the number 820221006 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 48 divisors.

820221006 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 820221006:

2 × 3 × 11² × 61 × 18521

(2 × 3 × 11 × 11 × 61 × 18521)

See below for interesting mathematical facts about the number 820221006 from the Numbermatics database.

Names of 820221006

Cardinal: 820221006 can be written as Eight hundred twenty million, two hundred twenty-one thousand and six.

Scientific notation

Scientific notation: 8.20221006 × 10⁸

Factors of 820221006

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 6
Sum of prime factors: 18598

Divisors of 820221006

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 6 11 22 33 61 66 121 122 183 242 363 366 671 726 1342 2013 4026 7381 14762 18521 22143 37042 44286 55563 111126 203731 407462 611193 1129781 1222386 2241041 2259562 3389343 4482082 6723123 6778686 12427591 13446246 24855182 37282773 74565546 136703501 273407002 410110503 820221006
Sum of all divisors σ(n): 1832788944
Sum of proper divisors (its aliquot sum) s(n): 1012567938
820221006 is an abundant number, because the sum of its proper divisors (1012567938) is greater than itself. Its abundance is 192346932

Bases of 820221006

Binary: 110000111000111001010001001110₂
Hexadecimal: 0x30E3944E
Base-36: DKC6KU

Squares and roots of 820221006

820221006 squared (820221006²) is 672762498683652036
820221006 cubed (820221006³) is 551813933469378748721868216
The square root of 820221006 is 28639.5007987221
The cube root of 820221006 is 936.0742439647

Scales and comparisons

How big is 820221006?

820,221,006 seconds is equal to 26 years, 4 weeks, 1 day, 7 hours, 10 minutes, 6 seconds.
To count from 1 to 820,221,006 would take you about thirty-nine 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 820221006 cubic inches would be around 78 feet tall.

Recreational maths with 820221006

820221006 backwards is 600122028
The number of decimal digits it has is: 9
The sum of 820221006's digits is 21
More coming soon!

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The information we have on file for 820221006 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!

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