Search a number
-
+
223219033 is a prime number
BaseRepresentation
bin11010100111000…
…00110101011001
3120120000200221121
431103200311121
5424121002113
634052205241
75350221232
oct1523406531
9516020847
10223219033
11105001844
1262909821
133732698b
1421908089
15148e3e8d
hexd4e0d59

223219033 has 2 divisors, whose sum is σ = 223219034. Its totient is φ = 223219032.

The previous prime is 223219021. The next prime is 223219043. The reversal of 223219033 is 330912322.

223219033 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., 149035264 + 74183769 = 12208^2 + 8613^2 .

It is a cyclic number.

It is not a de Polignac number, because 223219033 - 25 = 223219001 is a prime.

It is a super-3 number, since 3×2232190333 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223218989 and 223219007.

It is not a weakly prime, because it can be changed into another prime (223219043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111609516 + 111609517.

It is an arithmetic number, because the mean of its divisors is an integer number (111609517).

Almost surely, 2223219033 is an apocalyptic number.

It is an amenable number.

223219033 is a deficient number, since it is larger than the sum of its proper divisors (1).

223219033 is an equidigital number, since it uses as much as digits as its factorization.

223219033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 223219033 is about 14940.5164904029. The cubic root of 223219033 is about 606.6111761762.

The spelling of 223219033 in words is "two hundred twenty-three million, two hundred nineteen thousand, thirty-three".