22320

22,320 is an even composite number composed of four prime numbers multiplied together.

What does the number 22320 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

22320 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 22320:

2⁴ × 3² × 5 × 31

(2 × 2 × 2 × 2 × 3 × 3 × 5 × 31)

See below for interesting mathematical facts about the number 22320 from the Numbermatics database.

Names of 22320

Cardinal: 22320 can be written as Twenty-two thousand, three hundred twenty.

Scientific notation

Scientific notation: 2.232 × 10⁴

Factors of 22320

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 41

Divisors of 22320

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320
Sum of all divisors σ(n): 77376
Sum of proper divisors (its aliquot sum) s(n): 55056
22320 is an abundant number, because the sum of its proper divisors (55056) is greater than itself. Its abundance is 32736

Bases of 22320

Binary: 101011100110000₂
Hexadecimal: 0x5730
Base-36: H80

Squares and roots of 22320

22320 squared (22320²) is 498182400
22320 cubed (22320³) is 11119431168000
The square root of 22320 is 149.3987951759
The cube root of 22320 is 28.1555963329

Scales and comparisons

How big is 22320?

22,320 seconds is equal to 6 hours, 12 minutes.
To count from 1 to 22,320 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 22320 cubic inches would be around 2.3 feet tall.

Recreational maths with 22320

22320 backwards is 02322
22320 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 22320's digits is 9
More coming soon!

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The information we have on file for 22320 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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