Search a number
-
+
52223 is a prime number
BaseRepresentation
bin1100101111111111
32122122012
430233333
53132343
61041435
7305153
oct145777
978565
1052223
1136266
122627b
131aa02
1415063
1510718
hexcbff

52223 has 2 divisors, whose sum is σ = 52224. Its totient is φ = 52222.

The previous prime is 52201. The next prime is 52237. The reversal of 52223 is 32225.

It is an a-pointer prime, because the next prime (52237) can be obtained adding 52223 to its sum of digits (14).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 52223 - 210 = 51199 is a prime.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 52198 and 52207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26111 + 26112.

It is an arithmetic number, because the mean of its divisors is an integer number (26112).

252223 is an apocalyptic number.

52223 is a deficient number, since it is larger than the sum of its proper divisors (1).

52223 is an equidigital number, since it uses as much as digits as its factorization.

52223 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120, while the sum is 14.

The square root of 52223 is about 228.5235217653. The cubic root of 52223 is about 37.3783912464.

Adding to 52223 its reverse (32225), we get a palindrome (84448).

It can be divided in two parts, 5222 and 3, that added together give a palindrome (5225).

The spelling of 52223 in words is "fifty-two thousand, two hundred twenty-three".