# 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:
• 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
• 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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