Search a number
10223 is a prime number
BaseRepresentation
bin10011111101111
3112000122
42133233
5311343
6115155
741543
oct23757
915018
1010223
117754
125abb
134865
143a23
153068
hex27ef

10223 has 2 divisors, whose sum is σ = 10224. Its totient is φ = 10222.

The previous prime is 10211. The next prime is 10243. The reversal of 10223 is 32201.

10223 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10223 - 26 = 10159 is a prime.

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 10223.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10243) 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, 5111 + 5112.

It is an arithmetic number, because the mean of its divisors is an integer number (5112).

210223 is an apocalyptic number.

10223 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223 is an equidigital number, since it uses as much as digits as its factorization.

10223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10223 is about 101.1088522336. The cubic root of 10223 is about 21.7033173236.

Adding to 10223 its reverse (32201), we get a palindrome (42424).

It can be divided in two parts, 102 and 23, that multiplied together give a triangular number (2346 = T68).

The spelling of 10223 in words is "ten thousand, two hundred twenty-three", and thus it is an iban number.