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122,464

122,464 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.).

122,464 (one hundred twenty-two thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 43 × 89. Its proper divisors sum to 127,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE60.

Abundant Number Arithmetic Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
384
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
464,221
Recamán's sequence
a(29,980) = 122,464
Square (n²)
14,997,431,296
Cube (n³)
1,836,645,426,233,344
Divisor count
24
σ(n) — sum of divisors
249,480
φ(n) — Euler's totient
59,136
Sum of prime factors
142

Primality

Prime factorization: 2 5 × 43 × 89

Nearest primes: 122,453 (−11) · 122,471 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 43 · 86 · 89 · 172 · 178 · 344 · 356 · 688 · 712 · 1376 · 1424 · 2848 · 3827 · 7654 · 15308 · 30616 · 61232 (half) · 122464
Aliquot sum (sum of proper divisors): 127,016
Factor pairs (a × b = 122,464)
1 × 122464
2 × 61232
4 × 30616
8 × 15308
16 × 7654
32 × 3827
43 × 2848
86 × 1424
89 × 1376
172 × 712
178 × 688
344 × 356
First multiples
122,464 · 244,928 (double) · 367,392 · 489,856 · 612,320 · 734,784 · 857,248 · 979,712 · 1,102,176 · 1,224,640

Sums & aliquot sequence

As consecutive integers: 2,827 + 2,828 + … + 2,869 1,882 + 1,883 + … + 1,945 1,332 + 1,333 + … + 1,420
Aliquot sequence: 122,464 127,016 111,154 57,146 28,576 31,904 30,970 28,070 29,818 17,594 10,246 5,594 2,800 4,888 5,192 5,608 4,922 — unresolved within range

Continued fraction of √n

√122,464 = [349; (1, 18, 2, 3, 1, 7, 1, 6, 3, 27, 1, 2, 9, 1, 1, 11, 1, 3, 17, 1, 2, 4, 4, 3, …)]

Representations

In words
one hundred twenty-two thousand four hundred sixty-four
Ordinal
122464th
Binary
11101111001100000
Octal
357140
Hexadecimal
0x1DE60
Base64
Ad5g
One's complement
4,294,844,831 (32-bit)
Scientific notation
1.22464 × 10⁵
As a duration
122,464 s = 1 day, 10 hours, 1 minute, 4 seconds
In other bases
ternary (3) 20012222201
quaternary (4) 131321200
quinary (5) 12404324
senary (6) 2342544
septenary (7) 1020016
nonary (9) 205881
undecimal (11) 84011
duodecimal (12) 5aa54
tridecimal (13) 43984
tetradecimal (14) 328b6
pentadecimal (15) 26444

As an angle

122,464° = 340 × 360° + 64°
64° ≈ 1.117 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβυξδʹ
Mayan (base 20)
𝋯·𝋦·𝋣·𝋤
Chinese
一十二萬二千四百六十四
Chinese (financial)
壹拾貳萬貳仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٢٤٦٤ Devanagari १२२४६४ Bengali ১২২৪৬৪ Tamil ௧௨௨௪௬௪ Thai ๑๒๒๔๖๔ Tibetan ༡༢༢༤༦༤ Khmer ១២២៤៦៤ Lao ໑໒໒໔໖໔ Burmese ၁၂၂၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122464, here are decompositions:

  • 11 + 122453 = 122464
  • 71 + 122393 = 122464
  • 101 + 122363 = 122464
  • 137 + 122327 = 122464
  • 191 + 122273 = 122464
  • 197 + 122267 = 122464
  • 233 + 122231 = 122464
  • 257 + 122207 = 122464

Showing the first eight; more decompositions exist.

Hex color
#01DE60
RGB(1, 222, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.96.

Address
0.1.222.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.96

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 122,464 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 122464 first appears in π at position 12,819 of the decimal expansion (the 12,819ordinal-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