Search a number
-
+
223130021 is a prime number
BaseRepresentation
bin11010100110010…
…11000110100101
3120112212011211212
431103023012211
5424110130041
634050241205
75346400562
oct1523130645
9515764755
10223130021
11104a50984
1262886205
13372c52ca
14218c3869
15148c78eb
hexd4cb1a5

223130021 has 2 divisors, whose sum is σ = 223130022. Its totient is φ = 223130020.

The previous prime is 223130003. The next prime is 223130023. The reversal of 223130021 is 120031322.

It is a happy number.

223130021 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., 222337921 + 792100 = 14911^2 + 890^2 .

It is a cyclic number.

It is not a de Polignac number, because 223130021 - 26 = 223129957 is a prime.

It is a super-3 number, since 3×2231300213 (a number of 26 digits) contains 333 as substring.

Together with 223130023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 223129978 and 223130005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223130023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111565010 + 111565011.

It is an arithmetic number, because the mean of its divisors is an integer number (111565011).

Almost surely, 2223130021 is an apocalyptic number.

It is an amenable number.

223130021 is a deficient number, since it is larger than the sum of its proper divisors (1).

223130021 is an equidigital number, since it uses as much as digits as its factorization.

223130021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 223130021 is about 14937.5373137609. The cubic root of 223130021 is about 606.5305336311.

Adding to 223130021 its reverse (120031322), we get a palindrome (343161343).

The spelling of 223130021 in words is "two hundred twenty-three million, one hundred thirty thousand, twenty-one".