Live analysis

112,220

112,220 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.).

112,220 (one hundred twelve thousand two hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 31 × 181. Its proper divisors sum to 132,388, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B65C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

112,208 112,209 112,210 112,211 112,212 112,213 112,214 112,215 112,216 112,217 112,218 112,219 112,220 112,221 112,222 112,223 112,224 112,225 112,226 112,227 112,228 112,229 112,230 112,231 112,232

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Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 22,211
Recamán's sequence: a(76,255) = 112,220
Square (n²): 12,593,328,400
Cube (n³): 1,413,223,313,048,000
Divisor count: 24
σ(n) — sum of divisors: 244,608
φ(n) — Euler's totient: 43,200
Sum of prime factors: 221

Primality

Prime factorization: 2 ² × 5 × 31 × 181

Nearest primes: 112,213 (−7) · 112,223 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 31 · 62 · 124 · 155 · 181 · 310 · 362 · 620 · 724 · 905 · 1810 · 3620 · 5611 · 11222 · 22444 · 28055 · 56110 (half) · 112220

Aliquot sum (sum of proper divisors): 132,388

Factor pairs (a × b = 112,220)

1 × 112220

2 × 56110

4 × 28055

5 × 22444

10 × 11222

20 × 5611

31 × 3620

62 × 1810

124 × 905

155 × 724

181 × 620

310 × 362

First multiples

112,220 · 224,440 (double) · 336,660 · 448,880 · 561,100 · 673,320 · 785,540 · 897,760 · 1,009,980 · 1,122,200

Sums & aliquot sequence

As consecutive integers: 22,442 + 22,443 + 22,444 + 22,445 + 22,446 14,024 + 14,025 + … + 14,031 3,605 + 3,606 + … + 3,635 2,786 + 2,787 + … + 2,825

Aliquot sequence: 112,220 → 132,388 → 109,532 → 84,508 → 67,644 → 103,436 → 87,244 → 74,540 → 82,036 → 61,534 → 39,194 → 19,600 → 35,177 → 1,243 → 125 → 31 → 1 — unresolved within range

Continued fraction of √n

√112,220 = [334; (1, 132, 1, 668)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand two hundred twenty
Ordinal: 112220th
Binary: 11011011001011100
Octal: 333134
Hexadecimal: 0x1B65C
Base64: AbZc
One's complement: 4,294,855,075 (32-bit)
Scientific notation: 1.1222 × 10⁵
As a duration: 112,220 s = 1 day, 7 hours, 10 minutes, 20 seconds

In other bases

ternary (3) 12200221022

quaternary (4) 123121130

quinary (5) 12042340

senary (6) 2223312

septenary (7) 645113

nonary (9) 180838

undecimal (11) 77349

duodecimal (12) 54b38

tridecimal (13) 3c104

tetradecimal (14) 2cc7a

pentadecimal (15) 233b5

As an angle

112,220° = 311 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

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

In other modern scripts

Eastern Arabic ١١٢٢٢٠ Devanagari ११२२२० Bengali ১১২২২০ Tamil ௧௧௨௨௨௦ Thai ๑๑๒๒๒๐ Tibetan ༡༡༢༢༢༠ Khmer ១១២២២០ Lao ໑໑໒໒໒໐ Burmese ၁၁၂၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112220, here are decompositions:

7 + 112213 = 112220
13 + 112207 = 112220
67 + 112153 = 112220
109 + 112111 = 112220
151 + 112069 = 112220
223 + 111997 = 112220
271 + 111949 = 112220
307 + 111913 = 112220

Showing the first eight; more decompositions exist.

Hex color

#01B65C

RGB(1, 182, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.92.

Address: 0.1.182.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.182.92

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 112,220 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 US112,220 on Google Patents ↗ Look up on USPTO ↗