Search a number
-
+
22144100009 is a prime number
BaseRepresentation
bin10100100111111001…
…000010011010101001
32010011021000211112012
4110213321002122221
5330322342200014
614101200525305
71412515513223
oct244771023251
963137024465
1022144100009
1194338490a9
124360020835
13211b966575
141100d71413
158990e4c3e
hex527e426a9

22144100009 has 2 divisors, whose sum is σ = 22144100010. Its totient is φ = 22144100008.

The previous prime is 22144099981. The next prime is 22144100021. The reversal of 22144100009 is 90000144122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17212128025 + 4931971984 = 131195^2 + 70228^2 .

It is a cyclic number.

It is not a de Polignac number, because 22144100009 - 212 = 22144095913 is a prime.

It is a super-2 number, since 2×221441000092 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22144100039) 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, 11072050004 + 11072050005.

It is an arithmetic number, because the mean of its divisors is an integer number (11072050005).

Almost surely, 222144100009 is an apocalyptic number.

It is an amenable number.

22144100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

22144100009 is an equidigital number, since it uses as much as digits as its factorization.

22144100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 22144100009 in words is "twenty-two billion, one hundred forty-four million, one hundred thousand, nine".