Number of the day: 22070

Properties of the number 22070:

22070 = 2 × 5 × 2207 is a sphenic number and squarefree.
22070 has 3 distinct prime factors, 8 divisors, 7 antidivisors and 8824 totatives.
22070 has a prime digit sum 11 in base 10.
22070 is the sum of 2 positive triangular numbers.
22070 is the difference of 2 positive pentagonal numbers in 2 ways.
22070 = 10² + 19² + 147² is the sum of 3 positive squares.
22070² = 13242² + 17656² is the sum of 2 positive squares in 1 way.
22070² is the sum of 3 positive squares.
22070 is a proper divisor of 11¹¹⁰³ - 1.
22070 = '2' + '2070' is the concatenation of 2 oblong numbers.
22070 is palindromic in (at least) the following bases: 43, and -32.
22070 in base 31 = mtt and consists of only the digits 'm' and 't'.
22070 in base 43 = BeB and consists of only the digits 'B' and 'e'.
22070 in base 49 = 99K and consists of only the digits '9' and 'K'.
22070 in base 52 = 88M and consists of only the digits '8' and 'M'.

The number 22070 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A004951: Nearest integer to n*phi^16, where phi is the golden ratio, A001622.
A004971: a(n) = ceiling(n*phi^16), where phi is the golden ratio, A001622.
A203552: a(n) = n*(5*n^2 - 3*n + 4) / 6.
A210750: Triangle of coefficients of polynomials v(n,x) jointly generated with A210749; see the Formula section.
A227824: G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^n * Sum_{k=0..n} binomial(n,k)^2 * x^k*(1-x)^(n-k).
A303479: Total volume of the family of rectangular prisms with dimensions p, q, and |q - p| where p divides q, n = p + q and p < q.