224
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 504
- Proper Divisor Sum (Aliquot Sum)
- 280
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 96
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 21
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- zweihundertvierundzwanzig· ordinal: zweihundertvierundzwanzigste
- English
- two hundred twenty-four· ordinal: two hundred twenty-fourth
- Spanish
- doscientos veinticuatro· ordinal: 224º
- French
- deux cent vingt-quatre· ordinal: deux cent vingt-quatrième
- Italian
- duecentoventiquattro· ordinal: 224º
- Latin
- ducenti viginti quattuor· ordinal: 224.
- Portuguese
- duzentos e vinte e quatro· ordinal: 224º
Appears in sequences
- Number of necklaces with n beads of 2 colors, allowing turning over (these are also called bracelets).at n=12A000029
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=63A000115
- Number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to 3, where equivalence is defined by row and column permutations.at n=8A000512
- Numbers that are not the sum of 4 nonzero squares.at n=18A000534
- Number of steps to reach 1 in sequence A000546.at n=53A000547
- 2^n written in base 5.at n=6A000866
- Dimensions (sorted, with duplicates removed) of real simple Lie algebras.at n=49A001066
- Numbers that are the sum of 4 cubes in more than 1 way.at n=6A001245
- Numbers of form m*k with m+1 <= k <= 2m-1.at n=63A001284
- Number of strong starters in cyclic group of order 2n+1.at n=7A001443
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=15A001486
- Fibonacci entry points: a(n) = smallest m > 0 such that the n-th prime divides Fibonacci(m).at n=47A001602
- Squares written in base 5.at n=8A001740
- A self-generating sequence: every positive integer occurs as a(i)-a(j) for a unique pair i,j.at n=10A001856
- Numbers congruent to {2, 4, 8, 16} (mod 20).at n=45A002081
- Number of divisors of n-th highly composite number.at n=36A002183
- Numbers k such that 15*2^k - 1 is prime.at n=18A002237
- Numbers k such that 25*4^k + 1 is prime.at n=13A002263
- Bisection of A002470.at n=3A002287
- Absolute value of Glaisher's beta'(2n+1).at n=24A002291