# 198

## 198 is an even composite number composed of three prime numbers multiplied together.

What does the number 198 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

198 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 198:

### 2 × 32 × 11

(2 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 198 from the Numbermatics database.

### Names of 198

• Cardinal: 198 can be written as One hundred ninety-eight.

### Scientific notation

• Scientific notation: 1.98 × 102

### Factors of 198

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 16

### Divisors of 198

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 468
• Sum of proper divisors (its aliquot sum) s(n): 270
• 198 is an abundant number, because the sum of its proper divisors (270) is greater than itself. Its abundance is 72

### Bases of 198

• Binary: 110001102
• Base-36: 5I

### Squares and roots of 198

• 198 squared (1982) is 39204
• 198 cubed (1983) is 7762392
• The square root of 198 is 14.0712472793
• The cube root of 198 is 5.8284766833

### Scales and comparisons

How big is 198?
• 198 seconds is equal to 3 minutes, 18 seconds.
• To count from 1 to 198 would take you about thirty-nine seconds.

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 198 cubic inches would be around 0.5 feet tall.

### Recreational maths with 198

• 198 backwards is 891
• 198 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 198's digits is 18
• More coming soon!