Number

200

200 is a composite number, even, a calendar year.

200 (two hundred) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2³ × 5². Its proper divisors sum to 265, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CC and in binary, 11001000.

Abundant Number Achilles Number Gapful Number Harshad / Niven Odious Number Padovan Number Pernicious Number Powerful Number Practical Number Preferred Number Recamán's Sequence Semiperfect Number Year

Interestingness

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9 notable facts · grade A

188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212

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Historical context — 200 AD

Calendar year

Year 200 (CC) was a leap year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 200 BC

Calendar year

Year 200 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Wednesday
January 1, 200
Ended on: Wednesday
December 31, 200
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 200s
200–209
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,826
1826 years before 2026.

In other calendars

Hebrew: 3960 / 3961 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 743 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 192 / 193 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 122 / 121 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 2
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 8 bits
Reversed: 2
Recamán's sequence: a(1,371) = 200
Square (n²): 40,000
Cube (n³): 8,000,000
Divisor count: 12
σ(n) — sum of divisors: 465
φ(n) — Euler's totient: 80
Sum of prime factors: 16

Primality

Prime factorization: 2 ³ × 5 ²

Nearest primes: 199 (−1) · 211 (+11)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 (half) · 200

Aliquot sum (sum of proper divisors): 265

Factor pairs (a × b = 200)

1 × 200

2 × 100

4 × 50

5 × 40

8 × 25

10 × 20

First multiples

200 · 400 (double) · 600 · 800 · 1,000 · 1,200 · 1,400 · 1,600 · 1,800 · 2,000

Sums & aliquot sequence

As a sum of two squares: 2² + 14² = 10² + 10²

As consecutive integers: 38 + 39 + 40 + 41 + 42 5 + 6 + … + 20

Aliquot sequence: 200 → 265 → 59 → 1 → 0 — terminates at zero

Continued fraction of √n

√200 = [14; (7, 28)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: two hundred
Ordinal: 200th
Roman numeral: CC
Binary: 11001000
Octal: 310
Hexadecimal: 0xC8
Base64: yA==
One's complement: 55 (8-bit)
Scientific notation: 2 × 10²
As a duration: 200 s = 3 minutes, 20 seconds

In other bases

ternary (3) 21102

quaternary (4) 3020

quinary (5) 1300

senary (6) 532

septenary (7) 404

nonary (9) 242

undecimal (11) 172

duodecimal (12) 148

tridecimal (13) 125

tetradecimal (14) 104

pentadecimal (15) d5

Palindromic in base 7, base 9

As an angle

200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢
Greek (Milesian): σʹ
Mayan (base 20): 𝋪·𝋠
Chinese: 二百
Chinese (financial): 貳佰

In other modern scripts

Eastern Arabic ٢٠٠ Devanagari २०० Bengali ২০০ Tamil ௨௦௦ Thai ๒๐๐ Tibetan ༢༠༠ Khmer ២០០ Lao ໒໐໐ Burmese ၂၀၀

Digit at this position in famous constants

π — Pi (π): Digit 200 = 9
e — Euler's number (e): Digit 200 = 0
φ — Golden ratio (φ): Digit 200 = 8
√2 — Pythagoras's (√2): Digit 200 = 4
ln 2 — Natural log of 2: Digit 200 = 3
γ — Euler-Mascheroni (γ): Digit 200 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 200, here are decompositions:

3 + 197 = 200
7 + 193 = 200
19 + 181 = 200
37 + 163 = 200
43 + 157 = 200
61 + 139 = 200
73 + 127 = 200
97 + 103 = 200

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter E With Grave

U+00C8

Uppercase letter (Lu)

UTF-8 encoding: C3 88 (2 bytes).

Lookup U+00C8 on Compart ↗ Lookup on FileFormat.Info ↗

HTTP status code

HTTP 200 OK — Standard success response.

2xx class: Success.

Hex color

#0000C8

RGB(0, 0, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.200.

Address: 0.0.0.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.200

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 200 Hz is closest to:

Concert pitch (A4 = 440 Hz): G3 (196 Hz, +35¢)
Scientific pitch (C4 = 256 Hz): G♯3 (203.2 Hz, -27¢)
Baroque pitch (A4 = 415 Hz): G♯3 (195.9 Hz, +36¢)

Food additive (E-number)

On an ingredients label, E200 is Sorbic acid, a preservative.

E-number reference (Wikipedia) ↗