23205

23,205 is an odd composite number composed of five prime numbers multiplied together.

What does the number 23205 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 32 divisors.

23205 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 23205:

3 × 5 × 7 × 13 × 17

See below for interesting mathematical facts about the number 23205 from the Numbermatics database.

Names of 23205

Cardinal: 23205 can be written as Twenty-three thousand, two hundred five.

Scientific notation

Scientific notation: 2.3205 × 10⁴

Factors of 23205

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 5
Sum of prime factors: 45

Divisors of 23205

Number of divisors d(n): 32
Complete list of divisors:
1 3 5 7 13 15 17 21 35 39 51 65 85 91 105 119 195 221 255 273 357 455 595 663 1105 1365 1547 1785 3315 4641 7735 23205
Sum of all divisors σ(n): 48384
Sum of proper divisors (its aliquot sum) s(n): 25179
23205 is an abundant number, because the sum of its proper divisors (25179) is greater than itself. Its abundance is 1974

Bases of 23205

Binary: 101101010100101₂
Hexadecimal: 0x5AA5
Base-36: HWL

Squares and roots of 23205

23205 squared (23205²) is 538472025
23205 cubed (23205³) is 12495243340125
The square root of 23205 is 152.3318745371
The cube root of 23205 is 28.5229117083

Scales and comparisons

How big is 23205?

23,205 seconds is equal to 6 hours, 26 minutes, 45 seconds.
To count from 1 to 23,205 would take you about six hours.

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 23205 cubic inches would be around 2.4 feet tall.

Recreational maths with 23205

23205 backwards is 50232
The number of decimal digits it has is: 5
The sum of 23205's digits is 12
More coming soon!

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The information we have on file for 23205 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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