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23221223329 is a prime number
BaseRepresentation
bin10101101000000101…
…111011111110100001
32012221022211100221111
4111220011323332201
5340024113121304
614400115223321
71451305066363
oct255005737641
965838740844
1023221223329
119936858867
1246008a7b41
132260b67645
1411a4036d33
1590d95c704
hex56817bfa1

23221223329 has 2 divisors, whose sum is σ = 23221223330. Its totient is φ = 23221223328.

The previous prime is 23221223327. The next prime is 23221223339. The reversal of 23221223329 is 92332212232.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22865976225 + 355247104 = 151215^2 + 18848^2 .

It is a cyclic number.

It is not a de Polignac number, because 23221223329 - 21 = 23221223327 is a prime.

Together with 23221223327, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 23221223329.

It is not a weakly prime, because it can be changed into another prime (23221223327) 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, 11610611664 + 11610611665.

It is an arithmetic number, because the mean of its divisors is an integer number (11610611665).

Almost surely, 223221223329 is an apocalyptic number.

It is an amenable number.

23221223329 is a deficient number, since it is larger than the sum of its proper divisors (1).

23221223329 is an equidigital number, since it uses as much as digits as its factorization.

23221223329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 31.

The spelling of 23221223329 in words is "twenty-three billion, two hundred twenty-one million, two hundred twenty-three thousand, three hundred twenty-nine".