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140,221

140,221 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.).

140,221 (one hundred forty thousand two hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x223BD.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
122,041
Recamán's sequence
a(488,385) = 140,221
Square (n²)
19,661,928,841
Cube (n³)
2,757,015,324,013,861
Divisor count
2
σ(n) — sum of divisors
140,222
φ(n) — Euler's totient
140,220

Primality

140,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 140221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 140,221)
1 × 140221
First multiples
140,221 · 280,442 (double) · 420,663 · 560,884 · 701,105 · 841,326 · 981,547 · 1,121,768 · 1,261,989 · 1,402,210

Sums & aliquot sequence

As a sum of two squares: 186² + 325²
As consecutive integers: 70,110 + 70,111

Continued fraction of √n

√140,221 = [374; (2, 5, 1, 9, 7, 5, 1, 8, 1, 8, 57, 2, 82, 1, 2, 1, 1, 5, 9, 1, 4, 6, 3, 4, …)]

Representations

In words
one hundred forty thousand two hundred twenty-one
Ordinal
140221st
Binary
100010001110111101
Octal
421675
Hexadecimal
0x223BD
Base64
AiO9
One's complement
4,294,827,074 (32-bit)
Scientific notation
1.40221 × 10⁵
As a duration
140,221 s = 1 day, 14 hours, 57 minutes, 1 second
In other bases
ternary (3) 21010100101
quaternary (4) 202032331
quinary (5) 13441341
senary (6) 3001101
septenary (7) 1122544
nonary (9) 233311
undecimal (11) 96394
duodecimal (12) 69191
tridecimal (13) 4ba93
tetradecimal (14) 3915b
pentadecimal (15) 2b831

As an angle

140,221° = 389 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρμσκαʹ
Mayan (base 20)
𝋱·𝋪·𝋫·𝋡
Chinese
一十四萬零二百二十一
Chinese (financial)
壹拾肆萬零貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٤٠٢٢١ Devanagari १४०२२१ Bengali ১৪০২২১ Tamil ௧௪௦௨௨௧ Thai ๑๔๐๒๒๑ Tibetan ༡༤༠༢༢༡ Khmer ១៤០២២១ Lao ໑໔໐໒໒໑ Burmese ၁၄၀၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 140227.

Unicode codepoint
𢎽
CJK Unified Ideograph-223Bd
U+223BD
Other letter (Lo)

UTF-8 encoding: F0 A2 8E BD (4 bytes).

Hex color
#0223BD
RGB(2, 35, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.35.189.

Address
0.2.35.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.35.189

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 140,221 and was likely granted around 1872.

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

Position in π

The digit sequence 140221 first appears in π at position 801,600 of the decimal expansion (the 801,600ordinal-suffix:th 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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.