Search a number
-
+
2003022223 is a prime number
BaseRepresentation
bin111011101100011…
…1011000110001111
312011121001001221021
41313120323012033
513100233202343
6530431415011
7100431256636
oct16730730617
95147031837
102003022223
11938721274
1247a984467
1325bc94b67
1415004451d
15bacad0ed
hex7763b18f

2003022223 has 2 divisors, whose sum is σ = 2003022224. Its totient is φ = 2003022222.

The previous prime is 2003022193. The next prime is 2003022239. The reversal of 2003022223 is 3222203002.

It is an a-pointer prime, because the next prime (2003022239) can be obtained adding 2003022223 to its sum of digits (16).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2003022223 - 29 = 2003021711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003022197 and 2003022206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003022523) 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, 1001511111 + 1001511112.

It is an arithmetic number, because the mean of its divisors is an integer number (1001511112).

Almost surely, 22003022223 is an apocalyptic number.

2003022223 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003022223 is an equidigital number, since it uses as much as digits as its factorization.

2003022223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2003022223 is about 44755.1362750690. The cubic root of 2003022223 is about 1260.5553575614. Note that the first 3 decimals are identical.

Adding to 2003022223 its reverse (3222203002), we get a palindrome (5225225225).

The spelling of 2003022223 in words is "two billion, three million, twenty-two thousand, two hundred twenty-three".