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22144164221 is a prime number
BaseRepresentation
bin10100100111111001…
…010010000101111101
32010011021011002121102
4110213321102011331
5330322401223341
614101202142445
71412516201354
oct244771220575
963137132542
1022144164221
119433892373
124360051a25
13211b98986a
141100d8a99b
15899108c9b
hex527e5217d

22144164221 has 2 divisors, whose sum is σ = 22144164222. Its totient is φ = 22144164220.

The previous prime is 22144164199. The next prime is 22144164223. The reversal of 22144164221 is 12246144122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15693825625 + 6450338596 = 125275^2 + 80314^2 .

It is a cyclic number.

It is not a de Polignac number, because 22144164221 - 26 = 22144164157 is a prime.

Together with 22144164223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22144164223) 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, 11072082110 + 11072082111.

It is an arithmetic number, because the mean of its divisors is an integer number (11072082111).

Almost surely, 222144164221 is an apocalyptic number.

It is an amenable number.

22144164221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22144164221 is an equidigital number, since it uses as much as digits as its factorization.

22144164221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6144, while the sum is 29.

The spelling of 22144164221 in words is "twenty-two billion, one hundred forty-four million, one hundred sixty-four thousand, two hundred twenty-one".