# 22400

## 22,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 22400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

22400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 22400:

### 27 × 52 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 22400 from the Numbermatics database.

### Names of 22400

• Cardinal: 22400 can be written as Twenty-two thousand, four hundred.

### Scientific notation

• Scientific notation: 2.24 × 104

### Factors of 22400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 14

### Divisors of 22400

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 63240
• Sum of proper divisors (its aliquot sum) s(n): 40840
• 22400 is an abundant number, because the sum of its proper divisors (40840) is greater than itself. Its abundance is 18440

### Bases of 22400

• Binary: 1010111100000002
• Base-36: HA8

### Squares and roots of 22400

• 22400 squared (224002) is 501760000
• 22400 cubed (224003) is 11239424000000
• The square root of 22400 is 149.6662954709
• The cube root of 22400 is 28.1891949283

### Scales and comparisons

How big is 22400?
• 22,400 seconds is equal to 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 22,400 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 22400 cubic inches would be around 2.3 feet tall.

### Recreational maths with 22400

• 22400 backwards is 00422
• 22400 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 22400's digits is 8
• More coming soon!