Search a number
233221 is a prime number
BaseRepresentation
bin111000111100000101
3102211220211
4320330011
524430341
64555421
71660642
oct707405
9384824
10233221
1114a24a
12b2b71
1382201
1460dc9
1549181
hex38f05

233221 has 2 divisors, whose sum is σ = 233222. Its totient is φ = 233220.

The previous prime is 233201. The next prime is 233231. The reversal of 233221 is 122332.

Adding to 233221 its reverse (122332), we get a palindrome (355553).

Subtracting from 233221 its reverse (122332), we obtain a square (110889 = 3332).

It can be divided in two parts, 233 and 221, that added together give a palindrome (454).

It is a happy number.

233221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220900 + 12321 = 470^2 + 111^2 .

It is a cyclic number.

It is not a de Polignac number, because 233221 - 29 = 232709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116610 + 116611.

It is an arithmetic number, because the mean of its divisors is an integer number (116611).

2233221 is an apocalyptic number.

It is an amenable number.

233221 is a deficient number, since it is larger than the sum of its proper divisors (1).

233221 is an equidigital number, since it uses as much as digits as its factorization.

233221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 13.

The square root of 233221 is about 482.9296014949. The cubic root of 233221 is about 61.5539439010.

The spelling of 233221 in words is "two hundred thirty-three thousand, two hundred twenty-one".