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2223023213 is a prime number
BaseRepresentation
bin1000010010000000…
…1010010001101101
312201221000021120002
42010200022101231
514023043220323
61004331034045
7106042246145
oct20440122155
95657007502
102223023213
11a40925274
1252059b925
13295732b68
14171351925
15d0268828
hex8480a46d

2223023213 has 2 divisors, whose sum is σ = 2223023214. Its totient is φ = 2223023212.

The previous prime is 2223023171. The next prime is 2223023219. The reversal of 2223023213 is 3123203222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1603361764 + 619661449 = 40042^2 + 24893^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223023213 - 28 = 2223022957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223023219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111511606 + 1111511607.

It is an arithmetic number, because the mean of its divisors is an integer number (1111511607).

Almost surely, 22223023213 is an apocalyptic number.

It is an amenable number.

2223023213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223023213 is an equidigital number, since it uses as much as digits as its factorization.

2223023213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2223023213 is about 47148.9471038326. The cubic root of 2223023213 is about 1305.1126501993.

Adding to 2223023213 its reverse (3123203222), we get a palindrome (5346226435).

Subtracting 2223023213 from its reverse (3123203222), we obtain a square (900180009 = 300032).

The spelling of 2223023213 in words is "two billion, two hundred twenty-three million, twenty-three thousand, two hundred thirteen".