Search a number
-
+
233152223003100 = 223252985732628083
BaseRepresentation
bin110101000000110011111011…
…011011100100000111011100
31010120112010122022000212100100
4311000303323123210013130
5221024431223042044400
62143512352543301100
7100052456302316022
oct6500637333440734
91116463568025310
10233152223003100
116832033668a375
12221965678aa790
13a01321120410b
1441808b09a2712
151be4c573ee100
hexd40cfb6e41dc

233152223003100 has 108 divisors (see below), whose sum is σ = 730810382001336. Its totient is φ = 62173271736960.

The previous prime is 233152223003099. The next prime is 233152223003171. The reversal of 233152223003100 is 1300322251332.

It is a happy number.

233152223003100 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 522 + 2 + 30 + 0 + 3 + 100 = 666.

It is a super-2 number, since 2×2331522230031002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87401659 + ... + 90029741.

Almost surely, 2233152223003100 is an apocalyptic number.

233152223003100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233152223003100 is an abundant number, since it is smaller than the sum of its proper divisors (497658158998236).

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

233152223003100 is a wasteful number, since it uses less digits than its factorization.

233152223003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726676 (or 2726666 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 233152223003100 its reverse (1300322251332), we get a palindrome (234452545254432).

The spelling of 233152223003100 in words is "two hundred thirty-three trillion, one hundred fifty-two billion, two hundred twenty-three million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 98573 197146 295719 394292 492865 591438 887157 985730 1182876 1478595 1774314 1971460 2464325 2628083 2957190 3548628 4435785 4928650 5256166 5914380 7392975 7884249 8871570 9857300 10512332 13140415 14785950 15768498 17743140 22178925 23652747 26280830 29571900 31536996 39421245 44357850 47305494 52561660 65702075 78842490 88715700 94610988 118263735 131404150 157684980 197106225 236527470 262808300 394212450 473054940 591318675 788424900 1182637350 2365274700 259058025559 518116051118 777174076677 1036232102236 1295290127795 1554348153354 2331522230031 2590580255590 3108696306708 3885870383385 4663044460062 5181160511180 6476450638975 7771740766770 9326088920124 11657611150155 12952901277950 15543481533540 19429351916925 23315222300310 25905802555900 38858703833850 46630444600620 58288055750775 77717407667700 116576111501550 233152223003100