# 22500

## 22,500 is an even composite number composed of three prime numbers multiplied together.

What does the number 22500 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 45 divisors.

22500 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-five divisors.

## Prime factorization of 22500:

### 22 × 32 × 54

(2 × 2 × 3 × 3 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 22500 from the Numbermatics database.

### Names of 22500

• Cardinal: 22500 can be written as Twenty-two thousand, five hundred.

### Scientific notation

• Scientific notation: 2.25 × 104

### Factors of 22500

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 10

### Divisors of 22500

• Number of divisors d(n): 45
• Complete list of divisors:
• Sum of all divisors σ(n): 71071
• Sum of proper divisors (its aliquot sum) s(n): 48571
• 22500 is an abundant number, because the sum of its proper divisors (48571) is greater than itself. Its abundance is 26071

### Bases of 22500

• Binary: 1010111111001002
• Base-36: HD0

### Squares and roots of 22500

• 22500 squared (225002) is 506250000
• 22500 cubed (225003) is 11390625000000
• 22500 is a perfect square number. Its square root is 150
• The cube root of 22500 is 28.2310808665

### Scales and comparisons

How big is 22500?
• 22,500 seconds is equal to 6 hours, 15 minutes.
• To count from 1 to 22,500 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 22500 cubic inches would be around 2.4 feet tall.

### Recreational maths with 22500

• 22500 backwards is 00522
• 22500 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 22500's digits is 9
• More coming soon!

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"Number 22500 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

APA style:
Numbermatics. (2023). Number 22500 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/22500/

Chicago style:
Numbermatics. 2023. "Number 22500 - Facts about the integer". https://numbermatics.com/n/22500/

The information we have on file for 22500 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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