224
224 is a composite number, even, a calendar year.
224 (two hundred twenty-four) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 7. Its proper divisors sum to 280, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCXXIV and in binary, 11100000.
Interestingness
Historical context — 224 AD
Calendar year
Year 224 (CCXXIV) was a leap year starting on Thursday of the Julian calendar.
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Historical context — 224 BC
Calendar year
Year 224 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
-
53
Long year: contains 53 ISO weeks.
- Started on
-
Thursday
January 1, 224
- Ended on
-
Friday
December 31, 224
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
220s
220–229
- Century
-
3rd century
201–300
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,802
1802 years before 2026.
In other calendars
- Hebrew
-
3984 / 3985 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
767 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
216 / 217 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
146 / 145 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 5 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√224 = [14; (1, 28)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- two hundred twenty-four
- Ordinal
- 224th
- Roman numeral
- CCXXIV
- Binary
- 11100000
- Octal
- 340
- Hexadecimal
- 0xE0
- Base64
- 4A==
- One's complement
- 31 (8-bit)
- Scientific notation
- 2.24 × 10²
- As a duration
- 224 s = 3 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- σκδʹ
- Mayan (base 20)
- 𝋫·𝋤
- Chinese
- 二百二十四
- Chinese (financial)
- 貳佰貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 224 = 4
- e — Euler's number (e)
- Digit 224 = 1
- φ — Golden ratio (φ)
- Digit 224 = 2
- √2 — Pythagoras's (√2)
- Digit 224 = 5
- ln 2 — Natural log of 2
- Digit 224 = 1
- γ — Euler-Mascheroni (γ)
- Digit 224 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 224, here are decompositions:
- 13 + 211 = 224
- 31 + 193 = 224
- 43 + 181 = 224
- 61 + 163 = 224
- 67 + 157 = 224
- 73 + 151 = 224
- 97 + 127 = 224
UTF-8 encoding: C3 A0 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.224.
- Address
- 0.0.0.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.0.224
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 224 is an active NANP area code (North American Numbering Plan).
- Primary area
- Northern suburbs of Chicago
- Region
- Illinois
- 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.
Heard as a frequency, 224 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A3 (220 Hz, +31¢)
- Scientific pitch (C4 = 256 Hz): A♯3 (228.1 Hz, -31¢)
- Baroque pitch (A4 = 415 Hz): A♯3 (219.8 Hz, +32¢)
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.