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Number

223

223 is a prime, odd, a calendar year.

223 (two hundred twenty-three) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is CCXXIII and in binary, 11011111.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Left-Truncatable Prime Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Year

Interestingness

8 notable facts · grade A
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Historical context — 223 AD

Calendar year

Year 223 (CCXXIII) was a common year starting on Wednesday of the Julian calendar.

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

Historical context — 223 BC

Calendar year

Year 223 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, 223
Ended on
Wednesday
December 31, 223
Friday the 13ths
1
One Friday the 13th this year.
Decade
220s
220–229
Century
3rd century
201–300
Millennium
1st millennium
1–1000
Years ago
1,803
1803 years before 2026.

In other calendars

Hebrew
3983 / 3984 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Rabbit
Sexagenary cycle position 40 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
766 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
215 / 216 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
145 / 144 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
7
Digit product
12
Digital root
7
Palindrome
No
Bit width
8 bits
Reversed
322
Recamán's sequence
a(181,545) = 223
Square (n²)
49,729
Cube (n³)
11,089,567
Divisor count
2
σ(n) — sum of divisors
224
φ(n) — Euler's totient
222

Primality

223 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 223
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 223)
1 × 223
First multiples
223 · 446 (double) · 669 · 892 · 1,115 · 1,338 · 1,561 · 1,784 · 2,007 · 2,230

Sums & aliquot sequence

As consecutive integers: 111 + 112

Continued fraction of √n

√223 = [14; (1, 13, 1, 28)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
two hundred twenty-three
Ordinal
223rd
Roman numeral
CCXXIII
Binary
11011111
Octal
337
Hexadecimal
0xDF
Base64
3w==
One's complement
32 (8-bit)
Scientific notation
2.23 × 10²
As a duration
223 s = 3 minutes, 43 seconds
In other bases
ternary (3) 22021
quaternary (4) 3133
quinary (5) 1343
senary (6) 1011
septenary (7) 436
nonary (9) 267
undecimal (11) 193
duodecimal (12) 167
tridecimal (13) 142
tetradecimal (14) 11d
pentadecimal (15) ed

As an angle

223°
223° ≈ 3.892 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
σκγʹ
Mayan (base 20)
𝋫·𝋣
Chinese
二百二十三
Chinese (financial)
貳佰貳拾參
In other modern scripts
Eastern Arabic ٢٢٣ Devanagari २२३ Bengali ২২৩ Tamil ௨௨௩ Thai ๒๒๓ Tibetan ༢༢༣ Khmer ២២៣ Lao ໒໒໓ Burmese ၂၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 223 = 8
e — Euler's number (e)
Digit 223 = 9
φ — Golden ratio (φ)
Digit 223 = 6
√2 — Pythagoras's (√2)
Digit 223 = 4
ln 2 — Natural log of 2
Digit 223 = 5
γ — Euler-Mascheroni (γ)
Digit 223 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 211 (gap of 12)
  • Next prime: 227 (gap of 4)

Pair status: cousin with 227.

Unicode codepoint
ß
Latin Small Letter Sharp S
U+00DF
Lowercase letter (Ll)

UTF-8 encoding: C3 9F (2 bytes).

Hex color
#0000DF
RGB(0, 0, 223)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.223.

Address
0.0.0.223
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.223

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

NANP area code 223

The number 223 is an active NANP area code (North American Numbering Plan).

Primary area
Lancaster / Harrisburg
Region
Pennsylvania
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.

Musical pitch

Heard as a frequency, 223 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A3 (220 Hz, +23¢)
  • Scientific pitch (C4 = 256 Hz): A♯3 (228.1 Hz, -39¢)
  • Baroque pitch (A4 = 415 Hz): A♯3 (219.8 Hz, +25¢)
Food additive (E-number)

On an ingredients label, E223 is Sodium metabisulphite, a preservative.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.