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138,222

138,222 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.).

138,222 (one hundred thirty-eight thousand two hundred twenty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 7 × 1,097. Its proper divisors sum to 204,354, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BEE.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
222,831
Recamán's sequence
a(492,383) = 138,222
Square (n²)
19,105,321,284
Cube (n³)
2,640,775,718,517,048
Divisor count
24
σ(n) — sum of divisors
342,576
φ(n) — Euler's totient
39,456
Sum of prime factors
1,112

Primality

Prime factorization: 2 × 3 2 × 7 × 1097

Nearest primes: 138,209 (−13) · 138,239 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 63 · 126 · 1097 · 2194 · 3291 · 6582 · 7679 · 9873 · 15358 · 19746 · 23037 · 46074 · 69111 (half) · 138222
Aliquot sum (sum of proper divisors): 204,354
Factor pairs (a × b = 138,222)
1 × 138222
2 × 69111
3 × 46074
6 × 23037
7 × 19746
9 × 15358
14 × 9873
18 × 7679
21 × 6582
42 × 3291
63 × 2194
126 × 1097
First multiples
138,222 · 276,444 (double) · 414,666 · 552,888 · 691,110 · 829,332 · 967,554 · 1,105,776 · 1,243,998 · 1,382,220

Sums & aliquot sequence

As consecutive integers: 46,073 + 46,074 + 46,075 34,554 + 34,555 + 34,556 + 34,557 19,743 + 19,744 + … + 19,749 15,354 + 15,355 + … + 15,362
Aliquot sequence: 138,222 204,354 238,452 336,780 685,332 1,047,126 1,082,202 1,406,118 1,807,962 2,109,702 2,712,570 4,728,198 4,728,210 7,547,502 7,739,538 7,773,582 7,865,538 — unresolved within range

Continued fraction of √n

√138,222 = [371; (1, 3, 1, 1, 2, 4, 5, 1, 6, 1, 1, 10, 1, 1, 3, 2, 2, 3, 15, 1, 1, 8, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand two hundred twenty-two
Ordinal
138222nd
Binary
100001101111101110
Octal
415756
Hexadecimal
0x21BEE
Base64
Ahvu
One's complement
4,294,829,073 (32-bit)
Scientific notation
1.38222 × 10⁵
As a duration
138,222 s = 1 day, 14 hours, 23 minutes, 42 seconds
In other bases
ternary (3) 21000121100
quaternary (4) 201233232
quinary (5) 13410342
senary (6) 2543530
septenary (7) 1113660
nonary (9) 230540
undecimal (11) 94937
duodecimal (12) 67ba6
tridecimal (13) 4abb6
tetradecimal (14) 38530
pentadecimal (15) 2ae4c

As an angle

138,222° = 383 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλησκβʹ
Mayan (base 20)
𝋱·𝋥·𝋫·𝋢
Chinese
一十三萬八千二百二十二
Chinese (financial)
壹拾參萬捌仟貳佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٨٢٢٢ Devanagari १३८२२२ Bengali ১৩৮২২২ Tamil ௧௩௮௨௨௨ Thai ๑๓๘๒๒๒ Tibetan ༡༣༨༢༢༢ Khmer ១៣៨២២២ Lao ໑໓໘໒໒໒ Burmese ၁၃၈၂၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138222, here are decompositions:

  • 13 + 138209 = 138222
  • 31 + 138191 = 138222
  • 41 + 138181 = 138222
  • 43 + 138179 = 138222
  • 59 + 138163 = 138222
  • 79 + 138143 = 138222
  • 83 + 138139 = 138222
  • 109 + 138113 = 138222

Showing the first eight; more decompositions exist.

Unicode codepoint
𡯮
CJK Unified Ideograph-21Bee
U+21BEE
Other letter (Lo)

UTF-8 encoding: F0 A1 AF AE (4 bytes).

Hex color
#021BEE
RGB(2, 27, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.238.

Address
0.2.27.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.238

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 138,222 and was likely granted around 1872.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.