Number of the day: 9188

Properties of the number 9188:

9188 = 2² × 2297 is the 8048^th composite number and is not squarefree.
9188 has 2 distinct prime factors, 6 divisors, 29 antidivisors and 4592 totatives.
9188 has an emirpimes digit sum 26 in base 10.
Reversing the decimal digits of 9188 results in a prime.
9188 = 2298² - 2296² is the difference of 2 nonnegative squares in 1 way.
9188 is the difference of 2 positive pentagonal numbers in 1 way.
9188 = 38² + 88² is the sum of 2 positive squares in 1 way.
9188 = 18² + 20² + 92² is the sum of 3 positive squares.
9188² = 6300² + 6688² is the sum of 2 positive squares in 1 way.
9188² is the sum of 3 positive squares.
9188 is a proper divisor of 659¹⁴ - 1.
9188 is palindromic in (at least) the following bases: 55, -34, and -36.
9188 in base 33 = 8ee and consists of only the digits '8' and 'e'.
9188 in base 54 = 388 and consists of only the digits '3' and '8'.
9188 in base 55 = 323 and consists of only the digits '2' and '3'.

The number 9188 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A006758: Number of one-sided polyominoes with n cells.
A124057: Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3 primes.
A143823: Number of subsets {x(1),x(2),...,x(k)} of {1,2,...,n} such that all differences |x(i)-x(j)| are distinct.
A153642: a(n) = 4*n^2 + 24*n + 8.
A231413: Number of (n+1)X(1+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order
A231419: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order
A240578: Number of partitions of n such that the number of odd parts is a part and the number of even parts is not a part.
A280362: T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.
A281080: T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
A281605: T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.