Number of the day: 2198

Properties of the number 2198:

2198 = 2 × 7 × 157 is a sphenic number and squarefree.
2198 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 936 totatives.
2198 has an oblong digit sum 20 in base 10.
2198 has a Fibonacci digit product 144 in base 10.
2198 = 13³ + 1³ is the sum of 2 positive cubes in 1 way.
2198 is the sum of 2 positive triangular numbers.
2198 = 2² + 13² + 45² is the sum of 3 positive squares.
2198² = 1190² + 1848² is the sum of 2 positive squares in 1 way.
2198² is the sum of 3 positive squares.
2198 is a divisor of 1871³ - 1.
2198 is palindromic in (at least) the following bases: 13, and -36.
2198 in base 13 = 1001 and consists of only the digits '0' and '1'.
2198 in base 46 = 11a and consists of only the digits '1' and 'a'.

The number 2198 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000607: Number of partitions of n into prime parts.
A001093: a(n) = n^3 + 1.
A001100: Triangle read by rows: T(n,k) = number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1.
A001158: sigma_3(n): sum of cubes of divisors of n.
A005133: Number of index n subgroups of modular group PSL_2(Z).
A007331: Fourier coefficients of E_{infinity,4}.
A032532: Integer part of decimal 'base 2 looking' numbers divided by their actual base 2 values (denominator of a(n) is n, numerator is n written in binary but read in decimal).
A075196: Table T(n,k) by antidiagonals: T(n,k) = number of partitions of n balls of k colors.
A092314: Sum of smallest parts of all partitions of n into odd parts.
A219050: Numbers n such that 3^n + 34 is prime.