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112,223

112,223 is a prime, odd.

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.).

112,223 (one hundred twelve thousand two hundred twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B65F.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
24
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
322,211
Recamán's sequence
a(76,261) = 112,223
Square (n²)
12,594,001,729
Cube (n³)
1,413,336,656,033,567
Divisor count
2
σ(n) — sum of divisors
112,224
φ(n) — Euler's totient
112,222

Primality

112,223 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112223
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,223)
1 × 112223
First multiples
112,223 · 224,446 (double) · 336,669 · 448,892 · 561,115 · 673,338 · 785,561 · 897,784 · 1,010,007 · 1,122,230

Sums & aliquot sequence

As consecutive integers: 56,111 + 56,112

Continued fraction of √n

√112,223 = [334; (1, 333, 1, 668)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand two hundred twenty-three
Ordinal
112223rd
Binary
11011011001011111
Octal
333137
Hexadecimal
0x1B65F
Base64
AbZf
One's complement
4,294,855,072 (32-bit)
Scientific notation
1.12223 × 10⁵
As a duration
112,223 s = 1 day, 7 hours, 10 minutes, 23 seconds
In other bases
ternary (3) 12200221102
quaternary (4) 123121133
quinary (5) 12042343
senary (6) 2223315
septenary (7) 645116
nonary (9) 180842
undecimal (11) 77351
duodecimal (12) 54b3b
tridecimal (13) 3c107
tetradecimal (14) 2cc7d
pentadecimal (15) 233b8

As an angle

112,223° = 311 × 360° + 263°
263° ≈ 4.59 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριβσκγʹ
Mayan (base 20)
𝋮·𝋠·𝋫·𝋣
Chinese
一十一萬二千二百二十三
Chinese (financial)
壹拾壹萬貳仟貳佰貳拾參
In other modern scripts
Eastern Arabic ١١٢٢٢٣ Devanagari ११२२२३ Bengali ১১২২২৩ Tamil ௧௧௨௨௨௩ Thai ๑๑๒๒๒๓ Tibetan ༡༡༢༢༢༣ Khmer ១១២២២៣ Lao ໑໑໒໒໒໓ Burmese ၁၁၂၂၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B65F
RGB(1, 182, 95)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.95.

Address
0.1.182.95
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.95

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 112,223 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.