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22042144124022 = 231153157349111497
BaseRepresentation
bin1010000001100000101100…
…01010111010110001110110
32220001012121220220200100010
411000300112022322301312
510342114302343432042
6114514004330001050
74433330610460131
oct500602612726166
986035556820303
1022042144124022
1170290257a1a90
12257bab9576186
13c3b746b971a9
14562bb9d6d218
15283577bcb59c
hex140c162bac76

22042144124022 has 128 divisors (see below), whose sum is σ = 49329859465728. Its totient is φ = 6509237529600.

The previous prime is 22042144123939. The next prime is 22042144124029.

22042144124022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×220421441240222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22042144124029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1917202578 + ... + 1917214074.

It is an arithmetic number, because the mean of its divisors is an integer number (385389527076).

Almost surely, 222042144124022 is an apocalyptic number.

22042144124022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22042144124022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24664929732864).

22042144124022 is an abundant number, since it is smaller than the sum of its proper divisors (27287715341706).

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

22042144124022 is a wasteful number, since it uses less digits than its factorization.

22042144124022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15214.

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

It can be divided in two parts, 2204214 and 4124022, that added together give a palindrome (6328236).

The spelling of 22042144124022 in words is "twenty-two trillion, forty-two billion, one hundred forty-four million, one hundred twenty-four thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 157 159 314 318 471 583 942 1166 1727 1749 3454 3491 3498 5181 6982 8321 10362 10473 11497 16642 20946 22994 24963 34491 38401 49926 68982 76802 91531 115203 126467 183062 185023 230406 252934 274593 370046 379401 548087 549186 555069 609341 758802 1096174 1110138 1218682 1644261 1805029 1828023 2035253 3288522 3610058 3656046 4070506 5415087 6028957 6105759 6702751 10830174 12057914 12211518 13405502 18086871 19855319 20108253 29048611 36173742 39710638 40136027 40216506 58097222 59565957 80272054 87145833 95666537 119131914 120408081 174291666 191333074 240816162 286999611 319534721 441496297 573999222 639069442 882992594 958604163 1052331907 1324488891 1917208326 2104663814 2127209431 2648977782 3156995721 4254418862 6301356239 6313991442 6381628293 12602712478 12763256586 18904068717 23399303741 37808137434 46798607482 69314918629 70197911223 138629837258 140395822446 207944755887 333971880667 415889511774 667943761334 1001915642001 2003831284002 3673690687337 7347381374674 11021072062011 22042144124022