Search a number
-
+
218023 = 1331541
BaseRepresentation
bin110101001110100111
3102002001221
4311032213
523434043
64401211
71565431
oct651647
9362057
10218023
11139893
12a6207
1378310
1459651
15448ed
hex353a7

218023 has 8 divisors (see below), whose sum is σ = 242816. Its totient is φ = 194400.

The previous prime is 218021. The next prime is 218047. The reversal of 218023 is 320812.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 218023 - 21 = 218021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 217988 and 218006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (30352).

2218023 is an apocalyptic number.

218023 is a deficient number, since it is larger than the sum of its proper divisors (24793).

218023 is a wasteful number, since it uses less digits than its factorization.

218023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 218023 is about 466.9293308414. The cubic root of 218023 is about 60.1867330580.

Adding to 218023 its reverse (320812), we get a palindrome (538835).

It can be divided in two parts, 2 and 18023, that multiplied together give a triangular number (36046 = T268).

The spelling of 218023 in words is "two hundred eighteen thousand, twenty-three".

Divisors: 1 13 31 403 541 7033 16771 218023