Search a number
-
+
223261361 is a prime number
BaseRepresentation
bin11010100111010…
…11001010110001
3120120002212000022
431103223022301
5424123330421
634053133225
75350455521
oct1523531261
9516085008
10223261361
11105030624
126292a215
133734001b
1421919681
15149017ab
hexd4eb2b1

223261361 has 2 divisors, whose sum is σ = 223261362. Its totient is φ = 223261360.

The previous prime is 223261351. The next prime is 223261373. The reversal of 223261361 is 163162322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183331600 + 39929761 = 13540^2 + 6319^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223261361 is a prime.

It is a super-3 number, since 3×2232613613 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 223261361.

It is not a weakly prime, because it can be changed into another prime (223261331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111630680 + 111630681.

It is an arithmetic number, because the mean of its divisors is an integer number (111630681).

Almost surely, 2223261361 is an apocalyptic number.

It is an amenable number.

223261361 is a deficient number, since it is larger than the sum of its proper divisors (1).

223261361 is an equidigital number, since it uses as much as digits as its factorization.

223261361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 26.

The square root of 223261361 is about 14941.9329740164. The cubic root of 223261361 is about 606.6495167165.

The spelling of 223261361 in words is "two hundred twenty-three million, two hundred sixty-one thousand, three hundred sixty-one".