Number

223

223 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Year

Historical context — 223 AD

Calendar year

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

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Historical context — 223 BC

Calendar year

Year 223 BC was a year of the pre-Julian Roman calendar.

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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

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)

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

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

Latin Small Letter Sharp S

U+00DF

Lowercase letter (Ll)

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

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

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.

Look up area code 223 ↗