Search a number
-
+
223230104329 is a prime number
BaseRepresentation
bin1100111111100110001…
…1010001001100001001
3210100012021211020212211
43033321203101030021
512124133401314304
6250314523505121
722061564402461
oct3177143211411
9710167736784
10223230104329
1186742635431
123731b3881a1
1318086c75c3b
14ab3938aba1
155c17a88204
hex33f98d1309

223230104329 has 2 divisors, whose sum is σ = 223230104330. Its totient is φ = 223230104328.

The previous prime is 223230104297. The next prime is 223230104371. The reversal of 223230104329 is 923401032322.

223230104329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223157036025 + 73068304 = 472395^2 + 8548^2 .

It is a cyclic number.

It is not a de Polignac number, because 223230104329 - 25 = 223230104297 is a prime.

It is a super-3 number, since 3×2232301043293 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223230104329.

It is not a weakly prime, because it can be changed into another prime (223230104729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111615052164 + 111615052165.

It is an arithmetic number, because the mean of its divisors is an integer number (111615052165).

Almost surely, 2223230104329 is an apocalyptic number.

It is an amenable number.

223230104329 is a deficient number, since it is larger than the sum of its proper divisors (1).

223230104329 is an equidigital number, since it uses as much as digits as its factorization.

223230104329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 223230104329 in words is "two hundred twenty-three billion, two hundred thirty million, one hundred four thousand, three hundred twenty-nine".