Live analysis

112,224

112,224 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.).

112,224 (one hundred twelve thousand two hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 7 × 167. Its proper divisors sum to 226,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B660.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Zuckerman Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

112,212 112,213 112,214 112,215 112,216 112,217 112,218 112,219 112,220 112,221 112,222 112,223 112,224 112,225 112,226 112,227 112,228 112,229 112,230 112,231 112,232 112,233 112,234 112,235 112,236

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 32
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 422,211
Recamán's sequence: a(76,263) = 112,224
Square (n²): 12,594,226,176
Cube (n³): 1,413,374,438,375,424
Divisor count: 48
σ(n) — sum of divisors: 338,688
φ(n) — Euler's totient: 31,872
Sum of prime factors: 187

Primality

Prime factorization: 2 ⁵ × 3 × 7 × 167

Nearest primes: 112,223 (−1) · 112,237 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 84 · 96 · 112 · 167 · 168 · 224 · 334 · 336 · 501 · 668 · 672 · 1002 · 1169 · 1336 · 2004 · 2338 · 2672 · 3507 · 4008 · 4676 · 5344 · 7014 · 8016 · 9352 · 14028 · 16032 · 18704 · 28056 · 37408 · 56112 (half) · 112224

Aliquot sum (sum of proper divisors): 226,464

Factor pairs (a × b = 112,224)

1 × 112224

2 × 56112

3 × 37408

4 × 28056

6 × 18704

7 × 16032

8 × 14028

12 × 9352

14 × 8016

16 × 7014

21 × 5344

24 × 4676

28 × 4008

32 × 3507

42 × 2672

48 × 2338

56 × 2004

84 × 1336

96 × 1169

112 × 1002

167 × 672

168 × 668

224 × 501

334 × 336

First multiples

112,224 · 224,448 (double) · 336,672 · 448,896 · 561,120 · 673,344 · 785,568 · 897,792 · 1,010,016 · 1,122,240

Sums & aliquot sequence

As consecutive integers: 37,407 + 37,408 + 37,409 16,029 + 16,030 + … + 16,035 5,334 + 5,335 + … + 5,354 1,722 + 1,723 + … + 1,785

Aliquot sequence: 112,224 → 226,464 → 454,944 → 911,904 → 1,991,136 → 3,984,288 → 9,422,112 → 19,363,344 → 50,346,480 → 114,785,808 → 191,313,648 → 394,113,168 → 773,669,232 → 1,943,156,880 → 5,756,064,624 → 11,457,309,840 — keeps growing

Continued fraction of √n

√112,224 = [334; (1, 668)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand two hundred twenty-four
Ordinal: 112224th
Binary: 11011011001100000
Octal: 333140
Hexadecimal: 0x1B660
Base64: AbZg
One's complement: 4,294,855,071 (32-bit)
Scientific notation: 1.12224 × 10⁵
As a duration: 112,224 s = 1 day, 7 hours, 10 minutes, 24 seconds

In other bases

ternary (3) 12200221110

quaternary (4) 123121200

quinary (5) 12042344

senary (6) 2223320

septenary (7) 645120

nonary (9) 180843

undecimal (11) 77352

duodecimal (12) 54b40

tridecimal (13) 3c108

tetradecimal (14) 2cc80

pentadecimal (15) 233b9

As an angle

112,224° = 311 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβσκδʹ
Mayan (base 20): 𝋮·𝋠·𝋫·𝋤
Chinese: 一十一萬二千二百二十四
Chinese (financial): 壹拾壹萬貳仟貳佰貳拾肆

In other modern scripts

Eastern Arabic ١١٢٢٢٤ Devanagari ११२२२४ Bengali ১১২২২৪ Tamil ௧௧௨௨௨௪ Thai ๑๑๒๒๒๔ Tibetan ༡༡༢༢༢༤ Khmer ១១២២២៤ Lao ໑໑໒໒໒໔ Burmese ၁၁၂၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112224, here are decompositions:

11 + 112213 = 112224
17 + 112207 = 112224
43 + 112181 = 112224
61 + 112163 = 112224
71 + 112153 = 112224
103 + 112121 = 112224
113 + 112111 = 112224
127 + 112097 = 112224

Showing the first eight; more decompositions exist.

Hex color

#01B660

RGB(1, 182, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.96.

Address: 0.1.182.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.182.96

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 112,224 and was likely granted around 1871.

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

Look up US112,224 on Google Patents ↗ Look up on USPTO ↗