Number

224

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

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year Zuckerman Number

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.

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

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

Parity: Even
Digit count: 3
Digit sum: 8
Digit product: 16
Digital root: 8
Palindrome: No
Bit width: 8 bits
Reversed: 422
Recamán's sequence: a(67) = 224
Square (n²): 50,176
Cube (n³): 11,239,424
Divisor count: 12
σ(n) — sum of divisors: 504
φ(n) — Euler's totient: 96
Sum of prime factors: 17

Primality

Prime factorization: 2 ⁵ × 7

Nearest primes: 223 (−1) · 227 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 112 (half) · 224

Aliquot sum (sum of proper divisors): 280

Factor pairs (a × b = 224)

1 × 224

2 × 112

4 × 56

7 × 32

8 × 28

14 × 16

First multiples

224 · 448 (double) · 672 · 896 · 1,120 · 1,344 · 1,568 · 1,792 · 2,016 · 2,240

Sums & aliquot sequence

As consecutive integers: 29 + 30 + … + 35

Aliquot sequence: 224 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 → 104 → 106 → 56 → 64 → 63 → 41 → 1 — unresolved within range

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)

In other bases

ternary (3) 22022

quaternary (4) 3200

quinary (5) 1344

senary (6) 1012

septenary (7) 440

nonary (9) 268

undecimal (11) 194

duodecimal (12) 168

tridecimal (13) 143

tetradecimal (14) 120

pentadecimal (15) ee

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

In other modern scripts

Eastern Arabic ٢٢٤ Devanagari २२४ Bengali ২২৪ Tamil ௨௨௪ Thai ๒๒๔ Tibetan ༢༢༤ Khmer ២២៤ Lao ໒໒໔ Burmese ၂၂၄

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 decomposition

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

Unicode codepoint

Latin Small Letter A With Grave

U+00E0

Lowercase letter (Ll)

UTF-8 encoding: C3 A0 (2 bytes).

Lookup U+00E0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0000E0

RGB(0, 0, 224)

IPv4 address

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.

NANP area code 224

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.

Look up area code 224 ↗