Search a number
-
+
223114213417 is a prime number
BaseRepresentation
bin1100111111001010100…
…1001011100000101001
3210022220012202101102211
43033302221023200221
512123414214312132
6250255223525121
722055656344214
oct3176251134051
9708805671384
10223114213417
118669317a917
12372a85b97a1
1318068c5a434
14ab27c2077b
155c0c7e5147
hex33f2a4b829

223114213417 has 2 divisors, whose sum is σ = 223114213418. Its totient is φ = 223114213416.

The previous prime is 223114213411. The next prime is 223114213451. The reversal of 223114213417 is 714312411322.

223114213417 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., 131399725081 + 91714488336 = 362491^2 + 302844^2 .

It is a cyclic number.

It is not a de Polignac number, because 223114213417 - 215 = 223114180649 is a prime.

It is a super-3 number, since 3×2231142134173 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223114213411) 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, 111557106708 + 111557106709.

It is an arithmetic number, because the mean of its divisors is an integer number (111557106709).

Almost surely, 2223114213417 is an apocalyptic number.

It is an amenable number.

223114213417 is a deficient number, since it is larger than the sum of its proper divisors (1).

223114213417 is an equidigital number, since it uses as much as digits as its factorization.

223114213417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 31.

Adding to 223114213417 its reverse (714312411322), we get a palindrome (937426624739).

The spelling of 223114213417 in words is "two hundred twenty-three billion, one hundred fourteen million, two hundred thirteen thousand, four hundred seventeen".