Search a number
-
+
223823 is a prime number
BaseRepresentation
bin110110101001001111
3102101000202
4312221033
524130243
64444115
71621355
oct665117
9371022
10223823
11143186
12a963b
137ab52
145b7d5
15464b8
hex36a4f

223823 has 2 divisors, whose sum is σ = 223824. Its totient is φ = 223822.

The previous prime is 223781. The next prime is 223829. The reversal of 223823 is 328322.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 223823 - 26 = 223759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223795 and 223804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223829) 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 as a sum of consecutive naturals, namely, 111911 + 111912.

It is an arithmetic number, because the mean of its divisors is an integer number (111912).

2223823 is an apocalyptic number.

223823 is a deficient number, since it is larger than the sum of its proper divisors (1).

223823 is an equidigital number, since it uses as much as digits as its factorization.

223823 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 20.

The square root of 223823 is about 473.0993553156. The cubic root of 223823 is about 60.7157789054.

The spelling of 223823 in words is "two hundred twenty-three thousand, eight hundred twenty-three".