22440

22,440 is an even composite number composed of five prime numbers multiplied together.

What does the number 22440 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 64 divisors.

22440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.

Prime factorization of 22440:

2³ × 3 × 5 × 11 × 17

(2 × 2 × 2 × 3 × 5 × 11 × 17)

See below for interesting mathematical facts about the number 22440 from the Numbermatics database.

Names of 22440

Cardinal: 22440 can be written as Twenty-two thousand, four hundred forty.

Scientific notation

Scientific notation: 2.244 × 10⁴

Factors of 22440

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 7
Sum of prime factors: 38

Divisors of 22440

Number of divisors d(n): 64
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440
Sum of all divisors σ(n): 77760
Sum of proper divisors (its aliquot sum) s(n): 55320
22440 is an abundant number, because the sum of its proper divisors (55320) is greater than itself. Its abundance is 32880

Bases of 22440

Binary: 101011110101000₂
Hexadecimal: 0x57A8
Base-36: HBC

Squares and roots of 22440

22440 squared (22440²) is 503553600
22440 cubed (22440³) is 11299742784000
The square root of 22440 is 149.7998664887
The cube root of 22440 is 28.2059642331

Scales and comparisons

How big is 22440?

22,440 seconds is equal to 6 hours, 14 minutes.
To count from 1 to 22,440 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 22440 cubic inches would be around 2.4 feet tall.

Recreational maths with 22440

22440 backwards is 04422
22440 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 22440's digits is 12
More coming soon!

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The information we have on file for 22440 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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