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2,224

2,224 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence Self Number

Properties

Parity
Even
Digit count
4
Digit sum
10
Digit product
32
Digital root
1
Palindrome
No
Bit width
12 bits
Reversed
4,222
Recamán's sequence
a(3,303) = 2,224
Square (n²)
4,946,176
Cube (n³)
11,000,295,424
Divisor count
10
σ(n) — sum of divisors
4,340
φ(n) — Euler's totient
1,104
Sum of prime factors
147

Primality

Prime factorization: 2 4 × 139

Nearest primes: 2,221 (−3) · 2,237 (+13)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 139 · 278 · 556 · 1112 (half) · 2224
Aliquot sum (sum of proper divisors): 2,116
Factor pairs (a × b = 2,224)
1 × 2224
2 × 1112
4 × 556
8 × 278
16 × 139
First multiples
2,224 · 4,448 (double) · 6,672 · 8,896 · 11,120 · 13,344 · 15,568 · 17,792 · 20,016 · 22,240

Sums & aliquot sequence

As consecutive integers: 54 + 55 + … + 85
Aliquot sequence: 2,224 2,116 1,755 1,605 987 549 257 1 0 — terminates at zero

Representations

In words
two thousand two hundred twenty-four
Ordinal
2224th
Roman numeral
MMCCXXIV
Binary
100010110000
Octal
4260
Hexadecimal
0x8B0
Base64
CLA=
One's complement
63,311 (16-bit)
In other bases
ternary (3) 10001101
quaternary (4) 202300
quinary (5) 32344
senary (6) 14144
septenary (7) 6325
nonary (9) 3041
undecimal (11) 1742
duodecimal (12) 1354
tridecimal (13) 1021
tetradecimal (14) b4c
pentadecimal (15) 9d4

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βσκδʹ
Mayan (base 20)
𝋥·𝋫·𝋤
Chinese
二千二百二十四
Chinese (financial)
貳仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ٢٢٢٤ Devanagari २२२४ Bengali ২২২৪ Tamil ௨௨௨௪ Thai ๒๒๒๔ Tibetan ༢༢༢༤ Khmer ២២២៤ Lao ໒໒໒໔ Burmese ၂၂၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 2,224 = 5
e — Euler's number (e)
Digit 2,224 = 4
φ — Golden ratio (φ)
Digit 2,224 = 8
√2 — Pythagoras's (√2)
Digit 2,224 = 8
ln 2 — Natural log of 2
Digit 2,224 = 6
γ — Euler-Mascheroni (γ)
Digit 2,224 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2224, here are decompositions:

  • 3 + 2221 = 2224
  • 11 + 2213 = 2224
  • 17 + 2207 = 2224
  • 71 + 2153 = 2224
  • 83 + 2141 = 2224
  • 113 + 2111 = 2224
  • 137 + 2087 = 2224
  • 197 + 2027 = 2224

Showing the first eight; more decompositions exist.

Unicode codepoint
Arabic Letter Gaf With Inverted Stroke
U+08B0
Other letter (Lo)

UTF-8 encoding: E0 A2 B0 (3 bytes).

Hex color
#0008B0
RGB(0, 8, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.176.

Address
0.0.8.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.176

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

Position in π

The digit sequence 2224 first appears in π at position 4,903 of the decimal expansion (the 4,903ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.