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22144211331 = 3112235035273
BaseRepresentation
bin10100100111111001…
…011101100110000011
32010011021020111020020
4110213321131212003
5330322404230311
614101203144523
71412516455614
oct244771354603
963137214206
1022144211331
119433914800
124360075143
13211b9a5138
141100d9dc0b
15899117c06
hex527e5d983

22144211331 has 48 divisors (see below), whose sum is σ = 33938569728. Its totient is φ = 12809272960.

The previous prime is 22144211321. The next prime is 22144211357. The reversal of 22144211331 is 13311244122.

It is not a de Polignac number, because 22144211331 - 29 = 22144210819 is a prime.

It is a super-2 number, since 2×221442113312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22144211321) 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 in 47 ways as a sum of consecutive naturals, for example, 4196911 + ... + 4202183.

It is an arithmetic number, because the mean of its divisors is an integer number (707053536).

Almost surely, 222144211331 is an apocalyptic number.

22144211331 is a deficient number, since it is larger than the sum of its proper divisors (11794358397).

22144211331 is a wasteful number, since it uses less digits than its factorization.

22144211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824 (or 5813 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 22144211331 its reverse (13311244122), we get a palindrome (35455455453).

The spelling of 22144211331 in words is "twenty-two billion, one hundred forty-four million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 11 23 33 69 121 253 363 503 759 1509 2783 5273 5533 8349 11569 15819 16599 34707 58003 60863 121279 127259 174009 182589 363837 381777 638033 1334069 1399849 1914099 2652319 4002207 4199547 7956957 14674759 29175509 44024277 61003337 87526527 183010011 320930599 671036707 962791797 2013110121 7381403777 22144211331