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20224123140 = 223513198713049
BaseRepresentation
bin10010110101011100…
…111010000100000100
31221012110020220101210
4102311130322010010
5312404333420030
613142453051420
71314113132064
oct226534720404
957173226353
1020224123140
118638a99061
123b05026b70
131ba3c59c90
14d9bd873a4
157d578cbb0
hex4b573a104

20224123140 has 96 divisors (see below), whose sum is σ = 61018876800. Its totient is φ = 4975358976.

The previous prime is 20224123109. The next prime is 20224123141. The reversal of 20224123140 is 4132142202.

It is not an unprimeable number, because it can be changed into a prime (20224123141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543336 + ... + 1556384.

It is an arithmetic number, because the mean of its divisors is an integer number (635613300).

Almost surely, 220224123140 is an apocalyptic number.

20224123140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20224123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30509438400).

20224123140 is an abundant number, since it is smaller than the sum of its proper divisors (40794753660).

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

20224123140 is a wasteful number, since it uses less digits than its factorization.

20224123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15061 (or 15059 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20224123140 its reverse (4132142202), we get a palindrome (24356265342).

The spelling of 20224123140 in words is "twenty billion, two hundred twenty-four million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1987 3974 5961 7948 9935 11922 13049 19870 23844 25831 26098 29805 39147 39740 51662 52196 59610 65245 77493 78294 103324 119220 129155 130490 154986 156588 169637 195735 258310 260980 309972 339274 387465 391470 508911 516620 678548 774930 782940 848185 1017822 1549860 1696370 2035644 2544555 3392740 5089110 10178220 25928363 51856726 77785089 103713452 129641815 155570178 259283630 311140356 337068719 388925445 518567260 674137438 777850890 1011206157 1348274876 1555701780 1685343595 2022412314 3370687190 4044824628 5056030785 6741374380 10112061570 20224123140