# 217728

## 217,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 217728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 96 divisors.

217728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety-six divisors.

## Prime factorization of 217728:

### 27 × 35 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 217728 from the Numbermatics database.

### Names of 217728

• Cardinal: 217728 can be written as Two hundred seventeen thousand, seven hundred twenty-eight.

### Scientific notation

• Scientific notation: 2.17728 × 105

### Factors of 217728

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 12

### Divisors of 217728

• Number of divisors d(n): 96
• Complete list of divisors:
• Sum of all divisors σ(n): 742560
• Sum of proper divisors (its aliquot sum) s(n): 524832
• 217728 is an abundant number, because the sum of its proper divisors (524832) is greater than itself. Its abundance is 307104

### Bases of 217728

• Binary: 1101010010100000002
• Base-36: 4O00

### Squares and roots of 217728

• 217728 squared (2177282) is 47405481984
• 217728 cubed (2177283) is 10321500781412352
• The square root of 217728 is 466.6133302853
• The cube root of 217728 is 60.1595752195

### Scales and comparisons

How big is 217728?
• 217,728 seconds is equal to 2 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 217,728 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 217728 cubic inches would be around 5 feet tall.

### Recreational maths with 217728

• 217728 backwards is 827712
• 217728 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 217728's digits is 27
• More coming soon!