208224

208,224 is an even composite number composed of three prime numbers multiplied together.

What does the number 208224 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

208224 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 208224:

2⁵ × 3³ × 241

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 241)

See below for interesting mathematical facts about the number 208224 from the Numbermatics database.

Names of 208224

Cardinal: 208224 can be written as Two hundred eight thousand, two hundred twenty-four.

Scientific notation

Scientific notation: 2.08224 × 10⁵

Factors of 208224

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 246

Divisors of 208224

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 241 288 432 482 723 864 964 1446 1928 2169 2892 3856 4338 5784 6507 7712 8676 11568 13014 17352 23136 26028 34704 52056 69408 104112 208224
Sum of all divisors σ(n): 609840
Sum of proper divisors (its aliquot sum) s(n): 401616
208224 is an abundant number, because the sum of its proper divisors (401616) is greater than itself. Its abundance is 193392

Bases of 208224

Binary: 110010110101100000₂
Hexadecimal: 0x32D60
Base-36: 4GO0

Squares and roots of 208224

208224 squared (208224²) is 43357234176
208224 cubed (208224³) is 9028016729063424
The square root of 208224 is 456.3156802039
The cube root of 208224 is 59.2711829401

Scales and comparisons

How big is 208224?

208,224 seconds is equal to 2 days, 9 hours, 50 minutes, 24 seconds.
To count from 1 to 208,224 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 208224 cubic inches would be around 4.9 feet tall.

Recreational maths with 208224

208224 backwards is 422802
208224 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 208224's digits is 18
More coming soon!

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The information we have on file for 208224 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 208224, math, Factors of 208224, curriculum, school, college, exams, university, Prime factorization of 208224, STEM, science, technology, engineering, physics, economics, calculator, two hundred eight thousand, two hundred twenty-four.