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4222355242122 = 23311322711172729
BaseRepresentation
bin111101011100010111111…
…110111111110010001010
3112221122122012022100111000
4331130113332333302022
51023134340420221442
612551420114315430
7614024620245123
oct75342776776212
915848565270430
104222355242122
111388766504086
125823a2288b76
13248221739b14
1410851243504a
1574c76d2ed4c
hex3d717fbfc8a

4222355242122 has 128 divisors (see below), whose sum is σ = 9519746745600. Its totient is φ = 1387099219968.

The previous prime is 4222355242121. The next prime is 4222355242181. The reversal of 4222355242122 is 2212425532224.

4222355242122 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 3 + 5 + 524 + 2 + 122 = 666.

It is not an unprimeable number, because it can be changed into a prime (4222355242121) 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, 1547215654 + ... + 1547218382.

It is an arithmetic number, because the mean of its divisors is an integer number (74373021450).

Almost surely, 24222355242122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222355242122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759873372800).

4222355242122 is an abundant number, since it is smaller than the sum of its proper divisors (5297391503478).

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

4222355242122 is a wasteful number, since it uses less digits than its factorization.

4222355242122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4191 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The spelling of 4222355242122 in words is "four trillion, two hundred twenty-two billion, three hundred fifty-five million, two hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 227 339 454 678 681 1017 1117 1362 2034 2043 2234 2729 3051 3351 4086 5458 6102 6129 6702 8187 10053 12258 16374 20106 24561 25651 30159 49122 51302 60318 73683 76953 126221 147366 153906 230859 252442 253559 308377 378663 461718 507118 616754 619483 692577 757326 760677 925131 1135989 1238966 1385154 1521354 1850262 1858449 2271978 2282031 2775393 3048293 3407967 3716898 4564062 5550786 5575347 6096586 6815934 6846093 8326179 9144879 11150694 13692186 16652358 16726041 18289758 27434637 28652167 33452082 54869274 57304334 70001579 82303911 85956501 140003158 164607822 171913002 210004737 257869503 344457109 420009474 515739006 630014211 688914218 691962511 773608509 1033371327 1260028422 1383925022 1547217018 1890042633 2066742654 2075887533 3100113981 3780085266 4151775066 6200227962 6227662599 9300341943 12455325198 18600683886 18682987797 37365975594 78191763743 156383527486 234575291229 469150582458 703725873687 1407451747374 2111177621061 4222355242122