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22414210319 is a prime number
BaseRepresentation
bin10100110111111111…
…011011010100001111
32010212002021212012202
4110313333123110033
5331401014212234
614144050152115
71422305433644
oct246777332417
963762255182
1022414210319
119562267a66
12441658263b
1321628ca657
141128ba3dcb
158b2b9c77e
hex537fdb50f

22414210319 has 2 divisors, whose sum is σ = 22414210320. Its totient is φ = 22414210318.

The previous prime is 22414210261. The next prime is 22414210327. The reversal of 22414210319 is 91301241422.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 22414210319 - 224 = 22397433103 is a prime.

It is a super-4 number, since 4×224142103194 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22414210291 and 22414210300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22414210349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11207105159 + 11207105160.

It is an arithmetic number, because the mean of its divisors is an integer number (11207105160).

Almost surely, 222414210319 is an apocalyptic number.

22414210319 is a deficient number, since it is larger than the sum of its proper divisors (1).

22414210319 is an equidigital number, since it uses as much as digits as its factorization.

22414210319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 22414210319 in words is "twenty-two billion, four hundred fourteen million, two hundred ten thousand, three hundred nineteen".