# 204800

## 204,800 is an even composite number composed of two prime numbers multiplied together.

What does the number 204800 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 42 divisors.

204800 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty-two divisors.

## Prime factorization of 204800:

### 213 × 52

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

See below for interesting mathematical facts about the number 204800 from the Numbermatics database.

### Names of 204800

• Cardinal: 204800 can be written as Two hundred four thousand, eight hundred.

### Scientific notation

• Scientific notation: 2.048 × 105

### Factors of 204800

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 7

### Divisors of 204800

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 507873
• Sum of proper divisors (its aliquot sum) s(n): 303073
• 204800 is an abundant number, because the sum of its proper divisors (303073) is greater than itself. Its abundance is 98273

### Bases of 204800

• Binary: 1100100000000000002
• Base-36: 4E0W

### Squares and roots of 204800

• 204800 squared (2048002) is 41943040000
• 204800 cubed (2048003) is 8589934592000000
• The square root of 204800 is 452.5483399593
• The cube root of 204800 is 58.9445039783

### Scales and comparisons

How big is 204800?
• 204,800 seconds is equal to 2 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 204,800 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 204800 cubic inches would be around 4.9 feet tall.

### Recreational maths with 204800

• 204800 backwards is 008402
• The number of decimal digits it has is: 6
• The sum of 204800's digits is 14
• More coming soon!