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22532123142 = 23219316133467
BaseRepresentation
bin10100111111000001…
…001110101000000110
32011011022011110012100
4110333001032220012
5332121210420032
614203501332530
71425236613054
oct247701165006
964138143170
1022532123142
119612883681
124449b67146
132181173559
14113a6d91d4
158bd1de97c
hex53f04ea06

22532123142 has 96 divisors (see below), whose sum is σ = 53148625920. Its totient is φ = 6872662080.

The previous prime is 22532123101. The next prime is 22532123143. The reversal of 22532123142 is 24132123522.

22532123142 is a `hidden beast` number, since 2 + 2 + 532 + 123 + 1 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22532123143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6497293 + ... + 6500759.

It is an arithmetic number, because the mean of its divisors is an integer number (553631520).

Almost surely, 222532123142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22532123142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26574312960).

22532123142 is an abundant number, since it is smaller than the sum of its proper divisors (30616502778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22532123142 is a wasteful number, since it uses less digits than its factorization.

22532123142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4135 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 22532123142 its reverse (24132123522), we get a palindrome (46664246664).

The spelling of 22532123142 in words is "twenty-two billion, five hundred thirty-two million, one hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 613 1178 1226 1767 1839 3467 3534 3678 5301 5517 6934 10401 10602 11034 11647 19003 20802 23294 31203 34941 38006 57009 62406 65873 69882 104823 107477 114018 131746 171027 197619 209646 214954 322431 342054 361057 395238 592857 644862 722114 967293 1083171 1185714 1934586 2042063 2125271 2166342 3249513 4084126 4250542 6126189 6375813 6499026 12252378 12751626 18378567 19127439 36757134 38254878 40380149 65883401 80760298 121140447 131766802 197650203 242280894 363421341 395300406 592950609 726842682 1185901218 1251784619 2503569238 3755353857 7510707714 11266061571 22532123142