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232205223100140 = 223255935897609101
BaseRepresentation
bin110100110011000001111101…
…110101100111111011101100
31010110011121021020122022221100
4310303001331311213323230
5220413422244103201030
62141505335025003100
766624162616051233
oct6463017565477354
91113147236568840
10232205223100140
1167a95755953874
1222062b17483490
139c74b213c4a54
14414ab154b9b1a
151bca2cdae0360
hexd3307dd67eec

232205223100140 has 144 divisors (see below), whose sum is σ = 716315208204960. Its totient is φ = 60870082022400.

The previous prime is 232205223100133. The next prime is 232205223100141. The reversal of 232205223100140 is 41001322502232.

232205223100140 is a `hidden beast` number, since 2 + 3 + 2 + 20 + 522 + 3 + 100 + 14 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (232205223100141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380921590 + ... + 381530690.

It is an arithmetic number, because the mean of its divisors is an integer number (4974411168090).

Almost surely, 2232205223100140 is an apocalyptic number.

232205223100140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232205223100140 is an abundant number, since it is smaller than the sum of its proper divisors (484109985104820).

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

232205223100140 is a wasteful number, since it uses less digits than its factorization.

232205223100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645072 (or 645067 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 232205223100140 its reverse (41001322502232), we get a palindrome (273206545602372).

The spelling of 232205223100140 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred twenty-three million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 35897 71794 107691 143588 179485 215382 323073 358970 430764 538455 609101 646146 717940 1076910 1218202 1292292 1615365 1827303 2117923 2153820 2436404 3045505 3230730 3654606 4235846 5481909 6091010 6353769 6461460 7309212 8471692 9136515 10589615 10963818 12182020 12707538 18273030 19061307 21179230 21927636 25415076 27409545 31768845 35936959 36546060 38122614 42358460 54819090 63537690 71873918 76245228 95306535 107810877 109638180 127075380 143747836 179684795 190613070 215621754 323432631 359369590 381226140 431243508 539054385 646865262 718739180 1078108770 1293730524 1617163155 2156217540 3234326310 6468652620 21864898597 43729797194 65594695791 87459594388 109324492985 131189391582 196784087373 218648985970 262378783164 327973478955 393568174746 437297971940 655946957910 787136349492 983920436865 1290029017223 1311893915820 1967840873730 2580058034446 3870087051669 3935681747460 5160116068892 6450145086115 7740174103338 11610261155007 12900290172230 15480348206676 19350435258345 23220522310014 25800580344460 38700870516690 46441044620028 58051305775035 77401741033380 116102611550070 232205223100140