1224

1,224 is an even composite number composed of three prime numbers multiplied together.

What does the number 1224 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1224 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 1224:

2³ × 3² × 17

(2 × 2 × 2 × 3 × 3 × 17)

See below for interesting mathematical facts about the number 1224 from the Numbermatics database.

Names of 1224

Cardinal: 1224 can be written as One thousand, two hundred twenty-four.

Scientific notation

Scientific notation: 1.224 × 10³

Factors of 1224

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 22

Divisors of 1224

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224
Sum of all divisors σ(n): 3510
Sum of proper divisors (its aliquot sum) s(n): 2286
1224 is an abundant number, because the sum of its proper divisors (2286) is greater than itself. Its abundance is 1062

Bases of 1224

Binary: 10011001000₂
Hexadecimal: 0x4C8
Base-36: Y0

Squares and roots of 1224

1224 squared (1224²) is 1498176
1224 cubed (1224³) is 1833767424
The square root of 1224 is 34.9857113691
The cube root of 1224 is 10.6969624825

Scales and comparisons

How big is 1224?

1,224 seconds is equal to 20 minutes, 24 seconds.
To count from 1 to 1,224 would take you about twenty minutes.

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 1224 cubic inches would be around 0.9 feet tall.

Recreational maths with 1224

1224 backwards is 4221
1224 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 1224's digits is 9
More coming soon!

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The information we have on file for 1224 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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