Search a number
-
+
222149863901808 = 24341171146380813
BaseRepresentation
bin110010100000101101001011…
…101110011000101001110000
31002010120022121222022102110000
4302200231023232120221300
5213104200410124324213
62104250123312110000
764535540502106143
oct6240551356305160
91063508558272400
10222149863901808
1164869256812777
1220aba16bb35300
1396c584711404b
143cc0179db605a
151aa3963a9bc73
hexca0b4bb98a70

222149863901808 has 100 divisors (see below), whose sum is σ = 643515235844008. Its totient is φ = 73986717617280.

The previous prime is 222149863901753. The next prime is 222149863901809. The reversal of 222149863901808 is 808109368941222.

222149863901808 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 498 + 63 + 9 + 0 + 1 + 80 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222149863901809) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71672791 + ... + 74708022.

Almost surely, 2222149863901808 is an apocalyptic number.

It is an amenable number.

222149863901808 is an abundant number, since it is smaller than the sum of its proper divisors (421365371942200).

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

222149863901808 is a wasteful number, since it uses less digits than its factorization.

222149863901808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146382004 (or 146381989 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 222149863901808 in words is "two hundred twenty-two trillion, one hundred forty-nine billion, eight hundred sixty-three million, nine hundred one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1171 1296 2342 3513 4684 7026 9368 10539 14052 18736 21078 28104 31617 42156 56208 63234 84312 94851 126468 168624 189702 252936 379404 505872 758808 1517616 146380813 292761626 439142439 585523252 878284878 1171046504 1317427317 1756569756 2342093008 2634854634 3513139512 3952281951 5269709268 7026279024 7904563902 10539418536 11856845853 15809127804 21078837072 23713691706 31618255608 47427383412 63236511216 94854766824 171411932023 189709533648 342823864046 514235796069 685647728092 1028471592138 1371295456184 1542707388207 2056943184276 2742590912368 3085414776414 4113886368552 4628122164621 6170829552828 8227772737104 9256244329242 12341659105656 13884366493863 18512488658484 24683318211312 27768732987726 37024977316968 55537465975452 74049954633936 111074931950904 222149863901808