# 198288

## 198,288 is an even composite number composed of three prime numbers multiplied together.

What does the number 198288 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 70 divisors.

198288 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy divisors.

## Prime factorization of 198288:

### 24 × 36 × 17

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 17)

See below for interesting mathematical facts about the number 198288 from the Numbermatics database.

### Names of 198288

• Cardinal: 198288 can be written as One hundred ninety-eight thousand, two hundred eighty-eight.

### Scientific notation

• Scientific notation: 1.98288 × 105

### Factors of 198288

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 22

### Divisors of 198288

• Number of divisors d(n): 70
• Complete list of divisors:
• Sum of all divisors σ(n): 609894
• Sum of proper divisors (its aliquot sum) s(n): 411606
• 198288 is an abundant number, because the sum of its proper divisors (411606) is greater than itself. Its abundance is 213318

### Bases of 198288

• Binary: 1100000110100100002
• Base-36: 4900

### Squares and roots of 198288

• 198288 squared (1982882) is 39318130944
• 198288 cubed (1982883) is 7796313548623872
• The square root of 198288 is 445.2954075667
• The cube root of 198288 is 58.3130124229

### Scales and comparisons

How big is 198288?
• 198,288 seconds is equal to 2 days, 7 hours, 4 minutes, 48 seconds.
• To count from 1 to 198,288 would take you about two days.

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 198288 cubic inches would be around 4.9 feet tall.

### Recreational maths with 198288

• 198288 backwards is 882891
• 198288 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 198288's digits is 36
• More coming soon!