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22131922149 = 32137157114329
BaseRepresentation
bin10100100111001010…
…100101010011100101
32010010102010010122100
4110213022211103211
5330311233002044
614100043522313
71412310143241
oct244712452345
963112103570
1022131922149
119427990757
124357b29399
13211929162c
1410dd4c1421
15897edb869
hex5272a54e5

22131922149 has 24 divisors (see below), whose sum is σ = 32407067160. Its totient is φ = 14553497088.

The previous prime is 22131922097. The next prime is 22131922159. The reversal of 22131922149 is 94122913122.

It can be written as a sum of positive squares in 4 ways, for example, as 3720146049 + 18411776100 = 60993^2 + 135690^2 .

It is not a de Polignac number, because 22131922149 - 232 = 17836954853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131922159) 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 23 ways as a sum of consecutive naturals, for example, 136417 + ... + 250745.

It is an arithmetic number, because the mean of its divisors is an integer number (1350294465).

Almost surely, 222131922149 is an apocalyptic number.

It is an amenable number.

22131922149 is a deficient number, since it is larger than the sum of its proper divisors (10275145011).

22131922149 is a wasteful number, since it uses less digits than its factorization.

22131922149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114629 (or 114626 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 22131922149 in words is "twenty-two billion, one hundred thirty-one million, nine hundred twenty-two thousand, one hundred forty-nine".

Divisors: 1 3 9 137 157 411 471 1233 1413 21509 64527 114329 193581 342987 1028961 15663073 17949653 46989219 53848959 140967657 161546877 2459102461 7377307383 22131922149