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122,248

122,248 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.).

122,248 (one hundred twenty-two thousand two hundred forty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 37 × 59. Its proper divisors sum to 151,352, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD88.

Abundant Number Arithmetic Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
256
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
842,221
Square (n²)
14,944,573,504
Cube (n³)
1,826,944,221,716,992
Divisor count
32
σ(n) — sum of divisors
273,600
φ(n) — Euler's totient
50,112
Sum of prime factors
109

Primality

Prime factorization: 2 3 × 7 × 37 × 59

Nearest primes: 122,231 (−17) · 122,251 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 37 · 56 · 59 · 74 · 118 · 148 · 236 · 259 · 296 · 413 · 472 · 518 · 826 · 1036 · 1652 · 2072 · 2183 · 3304 · 4366 · 8732 · 15281 · 17464 · 30562 · 61124 (half) · 122248
Aliquot sum (sum of proper divisors): 151,352
Factor pairs (a × b = 122,248)
1 × 122248
2 × 61124
4 × 30562
7 × 17464
8 × 15281
14 × 8732
28 × 4366
37 × 3304
56 × 2183
59 × 2072
74 × 1652
118 × 1036
148 × 826
236 × 518
259 × 472
296 × 413
First multiples
122,248 · 244,496 (double) · 366,744 · 488,992 · 611,240 · 733,488 · 855,736 · 977,984 · 1,100,232 · 1,222,480

Sums & aliquot sequence

As consecutive integers: 17,461 + 17,462 + … + 17,467 7,633 + 7,634 + … + 7,648 3,286 + 3,287 + … + 3,322 2,043 + 2,044 + … + 2,101
Aliquot sequence: 122,248 151,352 132,448 128,372 100,108 81,332 61,006 42,674 24,766 19,874 11,566 5,786 3,718 2,870 3,178 2,294 1,354 — unresolved within range

Continued fraction of √n

√122,248 = [349; (1, 1, 1, 3, 2, 8, 5, 5, 1, 1, 2, 2, 14, 2, 5, 1, 4, 2, 4, 1, 2, 4, 1, 2, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand two hundred forty-eight
Ordinal
122248th
Binary
11101110110001000
Octal
356610
Hexadecimal
0x1DD88
Base64
Ad2I
One's complement
4,294,845,047 (32-bit)
Scientific notation
1.22248 × 10⁵
As a duration
122,248 s = 1 day, 9 hours, 57 minutes, 28 seconds
In other bases
ternary (3) 20012200201
quaternary (4) 131312020
quinary (5) 12402443
senary (6) 2341544
septenary (7) 1016260
nonary (9) 205621
undecimal (11) 83935
duodecimal (12) 5a8b4
tridecimal (13) 43849
tetradecimal (14) 327a0
pentadecimal (15) 2634d

As an angle

122,248° = 339 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβσμηʹ
Mayan (base 20)
𝋯·𝋥·𝋬·𝋨
Chinese
一十二萬二千二百四十八
Chinese (financial)
壹拾貳萬貳仟貳佰肆拾捌
In other modern scripts
Eastern Arabic ١٢٢٢٤٨ Devanagari १२२२४८ Bengali ১২২২৪৮ Tamil ௧௨௨௨௪௮ Thai ๑๒๒๒๔๘ Tibetan ༡༢༢༢༤༨ Khmer ១២២២៤៨ Lao ໑໒໒໒໔໘ Burmese ၁၂၂၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122248, here are decompositions:

  • 17 + 122231 = 122248
  • 29 + 122219 = 122248
  • 41 + 122207 = 122248
  • 47 + 122201 = 122248
  • 101 + 122147 = 122248
  • 131 + 122117 = 122248
  • 149 + 122099 = 122248
  • 167 + 122081 = 122248

Showing the first eight; more decompositions exist.

Hex color
#01DD88
RGB(1, 221, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.136.

Address
0.1.221.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.136

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 122,248 and was likely granted around 1871.

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

Position in π

The digit sequence 122248 first appears in π at position 648,824 of the decimal expansion (the 648,824ordinal-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