221728

221,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 221728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

221728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 221728:

2⁵ × 13² × 41

(2 × 2 × 2 × 2 × 2 × 13 × 13 × 41)

See below for interesting mathematical facts about the number 221728 from the Numbermatics database.

Names of 221728

Cardinal: 221728 can be written as Two hundred twenty-one thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 2.21728 × 10⁵

Factors of 221728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 56

Divisors of 221728

Number of divisors d(n): 36
Complete list of divisors:
1 2 4 8 13 16 26 32 41 52 82 104 164 169 208 328 338 416 533 656 676 1066 1312 1352 2132 2704 4264 5408 6929 8528 13858 17056 27716 55432 110864 221728
Sum of all divisors σ(n): 484218
Sum of proper divisors (its aliquot sum) s(n): 262490
221728 is an abundant number, because the sum of its proper divisors (262490) is greater than itself. Its abundance is 40762

Bases of 221728

Binary: 110110001000100000₂
Hexadecimal: 0x36220
Base-36: 4R34

Squares and roots of 221728

221728 squared (221728²) is 49163305984
221728 cubed (221728³) is 10900881509220352
The square root of 221728 is 470.8800271831
The cube root of 221728 is 60.5257500295

Scales and comparisons

How big is 221728?

221,728 seconds is equal to 2 days, 13 hours, 35 minutes, 28 seconds.
To count from 1 to 221,728 would take you about two days.

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 221728 cubic inches would be around 5 feet tall.

Recreational maths with 221728

221728 backwards is 827122
The number of decimal digits it has is: 6
The sum of 221728's digits is 22
More coming soon!

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The information we have on file for 221728 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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