Search a number
-
+
223108961 is a prime number
BaseRepresentation
bin11010100110001…
…01111101100001
3120112211002221212
431103011331201
5424103441321
634045555505
75346252305
oct1523057541
9515732855
10223108961
11104a37079
1262875b95
13372b884a
14218b9d05
15148c155b
hexd4c5f61

223108961 has 2 divisors, whose sum is σ = 223108962. Its totient is φ = 223108960.

The previous prime is 223108943. The next prime is 223108979. The reversal of 223108961 is 169801322.

It is a balanced prime because it is at equal distance from previous prime (223108943) and next prime (223108979).

It can be written as a sum of positive squares in only one way, i.e., 164968336 + 58140625 = 12844^2 + 7625^2 .

It is a cyclic number.

It is not a de Polignac number, because 223108961 - 214 = 223092577 is a prime.

It is a super-3 number, since 3×2231089613 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223101961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111554480 + 111554481.

It is an arithmetic number, because the mean of its divisors is an integer number (111554481).

Almost surely, 2223108961 is an apocalyptic number.

It is an amenable number.

223108961 is a deficient number, since it is larger than the sum of its proper divisors (1).

223108961 is an equidigital number, since it uses as much as digits as its factorization.

223108961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 223108961 is about 14936.8323616488. The cubic root of 223108961 is about 606.5114506843.

The spelling of 223108961 in words is "two hundred twenty-three million, one hundred eight thousand, nine hundred sixty-one".