199200

199,200 is an even composite number composed of four prime numbers multiplied together.

What does the number 199200 look like?

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

199200 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 199200:

2⁵ × 3 × 5² × 83

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 83)

See below for interesting mathematical facts about the number 199200 from the Numbermatics database.

Names of 199200

Cardinal: 199200 can be written as One hundred ninety-nine thousand, two hundred.

Scientific notation

Scientific notation: 1.992 × 10⁵

Factors of 199200

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 93

Divisors of 199200

Number of divisors d(n): 72
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 83 96 100 120 150 160 166 200 240 249 300 332 400 415 480 498 600 664 800 830 996 1200 1245 1328 1660 1992 2075 2400 2490 2656 3320 3984 4150 4980 6225 6640 7968 8300 9960 12450 13280 16600 19920 24900 33200 39840 49800 66400 99600 199200
Sum of all divisors σ(n): 656208
Sum of proper divisors (its aliquot sum) s(n): 457008
199200 is an abundant number, because the sum of its proper divisors (457008) is greater than itself. Its abundance is 257808

Bases of 199200

Binary: 110000101000100000₂
Hexadecimal: 0x30A20
Base-36: 49PC

Squares and roots of 199200

199200 squared (199200²) is 39680640000
199200 cubed (199200³) is 7904383488000000
The square root of 199200 is 446.3182720885
The cube root of 199200 is 58.4022767611

Scales and comparisons

How big is 199200?

199,200 seconds is equal to 2 days, 7 hours, 20 minutes.
To count from 1 to 199,200 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 199200 cubic inches would be around 4.9 feet tall.

Recreational maths with 199200

199200 backwards is 002991
The number of decimal digits it has is: 6
The sum of 199200's digits is 21
More coming soon!

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The information we have on file for 199200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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