Number

208

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

Abundant Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 208 AD

Calendar year

Year 208 (CCVIII) was a leap year starting on Friday of the Julian calendar.

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Historical context — 208 BC

Calendar year

Year 208 BC was a year of the pre-Julian Roman calendar.

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Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Friday
January 1, 208
Ended on: Saturday
December 31, 208
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 200s
200–209
Century: 3rd century
201–300
Millennium: 1st millennium
1–1000
Years ago: 1,818
1818 years before 2026.

In other calendars

Hebrew: 3968 / 3969 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 751 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 200 / 201 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 130 / 129 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 8 bits
Reversed: 802
Recamán's sequence: a(2,616) = 208
Square (n²): 43,264
Cube (n³): 8,998,912
Divisor count: 10
σ(n) — sum of divisors: 434
φ(n) — Euler's totient: 96
Sum of prime factors: 21

Primality

Prime factorization: 2 ⁴ × 13

Nearest primes: 199 (−9) · 211 (+3)

Divisors & multiples

All divisors (10)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 (half) · 208

Aliquot sum (sum of proper divisors): 226

Factor pairs (a × b = 208)

1 × 208

2 × 104

4 × 52

8 × 26

13 × 16

First multiples

208 · 416 (double) · 624 · 832 · 1,040 · 1,248 · 1,456 · 1,664 · 1,872 · 2,080

Sums & aliquot sequence

As a sum of two squares: 8² + 12²

As consecutive integers: 10 + 11 + … + 22

Aliquot sequence: 208 → 226 → 116 → 94 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: two hundred eight
Ordinal: 208th
Roman numeral: CCVIII
Binary: 11010000
Octal: 320
Hexadecimal: 0xD0
Base64: 0A==
One's complement: 47 (8-bit)

In other bases

ternary (3) 21201

quaternary (4) 3100

quinary (5) 1313

senary (6) 544

septenary (7) 415

nonary (9) 251

undecimal (11) 17a

duodecimal (12) 154

tridecimal (13) 130

tetradecimal (14) 10c

pentadecimal (15) dd

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): σηʹ
Mayan (base 20): 𝋪·𝋨
Chinese: 二百零八
Chinese (financial): 貳佰零捌

In other modern scripts

Eastern Arabic ٢٠٨ Devanagari २०८ Bengali ২০৮ Tamil ௨௦௮ Thai ๒๐๘ Tibetan ༢༠༨ Khmer ២០៨ Lao ໒໐໘ Burmese ၂၀၈

Digit at this position in famous constants

π — Pi (π): Digit 208 = 0
e — Euler's number (e): Digit 208 = 4
φ — Golden ratio (φ): Digit 208 = 8
√2 — Pythagoras's (√2): Digit 208 = 9
ln 2 — Natural log of 2: Digit 208 = 4
γ — Euler-Mascheroni (γ): Digit 208 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 208, here are decompositions:

11 + 197 = 208
17 + 191 = 208
29 + 179 = 208
41 + 167 = 208
59 + 149 = 208
71 + 137 = 208
101 + 107 = 208

Unicode codepoint

Latin Capital Letter Eth

U+00D0

Uppercase letter (Lu)

UTF-8 encoding: C3 90 (2 bytes).

Lookup U+00D0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0000D0

RGB(0, 0, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.208.

Address: 0.0.0.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.208

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

NANP area code 208

The number 208 is an active NANP area code (North American Numbering Plan).

Primary area: Statewide
Region: Idaho
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 208 ↗