Search a number
-
+
22065 = 351471
BaseRepresentation
bin101011000110001
31010021020
411120301
51201230
6250053
7121221
oct53061
933236
1022065
111563a
1210929
13a074
148081
156810
hex5631

22065 has 8 divisors (see below), whose sum is σ = 35328. Its totient is φ = 11760.

The previous prime is 22063. The next prime is 22067. The reversal of 22065 is 56022.

22065 = T6 + T7 + ... + T50.

It is an interprime number because it is at equal distance from previous prime (22063) and next prime (22067).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 22065 - 21 = 22063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 1471 = 22065 / (2 + 2 + 0 + 6 + 5).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22065.

It is not an unprimeable number, because it can be changed into a prime (22063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (4416).

222065 is an apocalyptic number.

It is an amenable number.

22065 is a deficient number, since it is larger than the sum of its proper divisors (13263).

22065 is a wasteful number, since it uses less digits than its factorization.

22065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22065 is about 148.5429230896. The cubic root of 22065 is about 28.0479620152.

Subtracting from 22065 its product of nonzero digits (120), we obtain a triangular number (21945 = T209).

Adding to 22065 its reverse (56022), we get a palindrome (78087).

It can be divided in two parts, 2206 and 5, that added together give a triangular number (2211 = T66).

The spelling of 22065 in words is "twenty-two thousand, sixty-five".

Divisors: 1 3 5 15 1471 4413 7355 22065