Search a number
-
+
22144244241 = 37192913011471
BaseRepresentation
bin10100100111111001…
…100101101000010001
32010011021022011101010
4110213321211220101
5330322411303431
614101204001133
71412516653560
oct244771455021
963137264333
1022144244241
1194339374a9
1243600901a9
13211b9b7102
141100dabbd7
15899122846
hex527e65a11

22144244241 has 64 divisors (see below), whose sum is σ = 36797644800. Its totient is φ = 11557728000.

The previous prime is 22144244233. The next prime is 22144244249. The reversal of 22144244241 is 14244244122.

It is an interprime number because it is at equal distance from previous prime (22144244233) and next prime (22144244249).

It is not a de Polignac number, because 22144244241 - 23 = 22144244233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22144244199 and 22144244208.

It is not an unprimeable number, because it can be changed into a prime (22144244249) 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 in 63 ways as a sum of consecutive naturals, for example, 15053136 + ... + 15054606.

It is an arithmetic number, because the mean of its divisors is an integer number (574963200).

Almost surely, 222144244241 is an apocalyptic number.

22144244241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22144244241 is a deficient number, since it is larger than the sum of its proper divisors (14653400559).

22144244241 is a wasteful number, since it uses less digits than its factorization.

22144244241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830.

The product of its digits is 16384, while the sum is 30.

Adding to 22144244241 its reverse (14244244122), we get a palindrome (36388488363).

The spelling of 22144244241 in words is "twenty-two billion, one hundred forty-four million, two hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 7 19 21 29 57 87 133 203 399 551 609 1301 1471 1653 3857 3903 4413 9107 10297 11571 24719 27321 27949 30891 37729 42659 74157 83847 113187 127977 173033 195643 264103 298613 519099 586929 716851 792309 810521 895839 1913771 2150553 2431563 5017957 5673647 5741313 13396397 15053871 17020941 36361649 40189191 55499359 109084947 166498077 254531543 388495513 763594629 1054487821 1165486539 3163463463 7381414747 22144244241