22968

22,968 is an even composite number composed of four prime numbers multiplied together.

What does the number 22968 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

22968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 22968:

2³ × 3² × 11 × 29

(2 × 2 × 2 × 3 × 3 × 11 × 29)

See below for interesting mathematical facts about the number 22968 from the Numbermatics database.

Names of 22968

Cardinal: 22968 can be written as Twenty-two thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 2.2968 × 10⁴

Factors of 22968

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 45

Divisors of 22968

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 3828 5742 7656 11484 22968
Sum of all divisors σ(n): 70200
Sum of proper divisors (its aliquot sum) s(n): 47232
22968 is an abundant number, because the sum of its proper divisors (47232) is greater than itself. Its abundance is 24264

Bases of 22968

Binary: 101100110111000₂
Hexadecimal: 0x59B8
Base-36: HQ0

Squares and roots of 22968

22968 squared (22968²) is 527529024
22968 cubed (22968³) is 12116286623232
The square root of 22968 is 151.5519712837
The cube root of 22968 is 28.4254747287

Scales and comparisons

How big is 22968?

22,968 seconds is equal to 6 hours, 22 minutes, 48 seconds.
To count from 1 to 22,968 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 22968 cubic inches would be around 2.4 feet tall.

Recreational maths with 22968

22968 backwards is 86922
The number of decimal digits it has is: 5
The sum of 22968's digits is 27
More coming soon!

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The information we have on file for 22968 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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