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206228185104 = 24317216789021
BaseRepresentation
bin1100000000010000101…
…0000110000000010000
3201201022101201021021210
43000010022012000100
511334323403410404
6234423453420120
720620345436034
oct3000412060020
9651271637253
10206228185104
117a508485917
1233b7549a640
13165a77600c6
149da532c1c4
155570132689
hex3004286010

206228185104 has 120 divisors (see below), whose sum is σ = 569333435328. Its totient is φ = 64310896640.

The previous prime is 206228185103. The next prime is 206228185109. The reversal of 206228185104 is 401581822602.

It is a happy number.

206228185104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206228185103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2272114 + ... + 2361134.

Almost surely, 2206228185104 is an apocalyptic number.

206228185104 is a gapful number since it is divisible by the number (24) 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 206228185104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284666717664).

206228185104 is an abundant number, since it is smaller than the sum of its proper divisors (363105250224).

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

206228185104 is a wasteful number, since it uses less digits than its factorization.

206228185104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89233 (or 89210 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 206228185104 in words is "two hundred six billion, two hundred twenty-eight million, one hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 167 204 272 289 334 408 501 578 668 816 867 1002 1156 1336 1734 2004 2312 2672 2839 3468 4008 4624 5678 6936 8016 8517 11356 13872 17034 22712 34068 45424 48263 68136 89021 96526 136272 144789 178042 193052 267063 289578 356084 386104 534126 579156 712168 772208 1068252 1158312 1424336 1513357 2136504 2316624 3026714 4273008 4540071 6053428 9080142 12106856 14866507 18160284 24213712 25727069 29733014 36320568 44599521 51454138 59466028 72641136 77181207 89199042 102908276 118932056 154362414 178398084 205816552 237864112 252730619 308724828 356796168 411633104 505461238 617449656 713592336 758191857 1010922476 1234899312 1516383714 2021844952 3032767428 4043689904 4296420523 6065534856 8592841046 12131069712 12889261569 17185682092 25778523138 34371364184 51557046276 68742728368 103114092552 206228185104