# 202400

## 202,400 is an even composite number composed of four prime numbers multiplied together.

What does the number 202400 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

202400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 202400:

### 25 × 52 × 11 × 23

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 23)

See below for interesting mathematical facts about the number 202400 from the Numbermatics database.

### Names of 202400

• Cardinal: 202400 can be written as Two hundred two thousand, four hundred.

### Scientific notation

• Scientific notation: 2.024 × 105

### Factors of 202400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 41

### Divisors of 202400

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 562464
• Sum of proper divisors (its aliquot sum) s(n): 360064
• 202400 is an abundant number, because the sum of its proper divisors (360064) is greater than itself. Its abundance is 157664

### Bases of 202400

• Binary: 1100010110101000002
• Base-36: 4C68

### Squares and roots of 202400

• 202400 squared (2024002) is 40965760000
• 202400 cubed (2024003) is 8291469824000000
• The square root of 202400 is 449.8888751681
• The cube root of 202400 is 58.7133466861

### Scales and comparisons

How big is 202400?
• 202,400 seconds is equal to 2 days, 8 hours, 13 minutes, 20 seconds.
• To count from 1 to 202,400 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 202400 cubic inches would be around 4.9 feet tall.

### Recreational maths with 202400

• 202400 backwards is 004202
• 202400 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 202400's digits is 8
• More coming soon!