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200210222000096 = 25711292801867191
BaseRepresentation
bin101101100001011100010011…
…001010011010011111100000
3222020212220120121102011001222
4231201130103022122133200
5202220221013313000341
61545451150052314212
760112465640660210
oct5541342312323740
9866786517364058
10200210222000096
115887a750938510
121a5560ba312968
138793987286409
143762325536240
151822dd9b2444b
hexb6171329a7e0

200210222000096 has 96 divisors (see below), whose sum is σ = 508370783316480. Its totient is φ = 75314190067200.

The previous prime is 200210222000057. The next prime is 200210222000123. The reversal of 200210222000096 is 690000222012002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400862140 + ... + 1401005051.

It is an arithmetic number, because the mean of its divisors is an integer number (5295528992880).

Almost surely, 2200210222000096 is an apocalyptic number.

It is an amenable number.

200210222000096 is an abundant number, since it is smaller than the sum of its proper divisors (308160561316384).

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

200210222000096 is a wasteful number, since it uses less digits than its factorization.

200210222000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801867248 (or 2801867240 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 200210222000096 its reverse (690000222012002), we get a palindrome (890210444012098).

The spelling of 200210222000096 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, ninety-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 308 319 352 406 464 616 638 812 928 1232 1276 1624 2233 2464 2552 3248 4466 5104 6496 8932 10208 17864 35728 71456 2801867191 5603734382 11207468764 19613070337 22414937528 30820539101 39226140674 44829875056 61641078202 78452281348 81254148539 89659750112 123282156404 156904562696 162508297078 215743773707 246564312808 313809125392 325016594156 431487547414 493128625616 568779039773 627618250784 650033188312 862975094828 893795633929 986257251232 1137558079546 1300066376624 1725950189656 1787591267858 2275116159092 2600132753248 3451900379312 3575182535716 4550232318184 6256569437503 6903800758624 7150365071432 9100464636368 12513138875006 14300730142864 18200929272736 25026277750012 28601460285728 50052555500024 100105111000048 200210222000096