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22323122221 is a prime number
BaseRepresentation
bin10100110010100011…
…111101000000101101
32010121201220002211111
4110302203331000231
5331204204402341
614131033552021
71420121256661
oct246243750055
963551802744
1022323122221
119515903144
1243abb75611
132149a8737a
14111aa528a1
158a9ba8681
hex5328fd02d

22323122221 has 2 divisors, whose sum is σ = 22323122222. Its totient is φ = 22323122220.

The previous prime is 22323122191. The next prime is 22323122231. The reversal of 22323122221 is 12222132322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17147902500 + 5175219721 = 130950^2 + 71939^2 .

It is a cyclic number.

It is not a de Polignac number, because 22323122221 - 25 = 22323122189 is a prime.

It is a super-3 number, since 3×223231222213 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22323122192 and 22323122201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22323122231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11161561110 + 11161561111.

It is an arithmetic number, because the mean of its divisors is an integer number (11161561111).

Almost surely, 222323122221 is an apocalyptic number.

It is an amenable number.

22323122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22323122221 is an equidigital number, since it uses as much as digits as its factorization.

22323122221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 22.

Adding to 22323122221 its reverse (12222132322), we get a palindrome (34545254543).

The spelling of 22323122221 in words is "twenty-two billion, three hundred twenty-three million, one hundred twenty-two thousand, two hundred twenty-one".