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232205240043225 = 335213919919124247
BaseRepresentation
bin110100110011000001111110…
…110110010000011011011001
31010110011121022102112010111000
4310303001332312100123121
5220413422312422340400
62141505340432055213
766624163213056051
oct6463017666203331
91113147272463430
10232205240043225
1167a95764476419
1222062b21094509
139c74b24a77947
14414ab1784a561
151bca2d033a600
hexd3307ed906d9

232205240043225 has 96 divisors (see below), whose sum is σ = 429663499776000. Its totient is φ = 122944677215040.

The previous prime is 232205240043193. The next prime is 232205240043247. The reversal of 232205240043225 is 522340042502232.

232205240043225 is a `hidden beast` number, since 2 + 3 + 2 + 20 + 5 + 2 + 400 + 4 + 3 + 225 = 666.

It is not a de Polignac number, because 232205240043225 - 25 = 232205240043193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 232205240043225.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1868838052 + ... + 1868962298.

It is an arithmetic number, because the mean of its divisors is an integer number (4475661456000).

Almost surely, 2232205240043225 is an apocalyptic number.

232205240043225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232205240043225 is a deficient number, since it is larger than the sum of its proper divisors (197458259732775).

232205240043225 is a wasteful number, since it uses less digits than its factorization.

232205240043225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144324 (or 144313 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 232205240043225 its reverse (522340042502232), we get a palindrome (754545282545457).

The spelling of 232205240043225 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred forty million, forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 139 225 417 675 695 1251 2085 3475 3753 6255 10425 18765 19919 31275 59757 93825 99595 124247 179271 298785 372741 497975 537813 621235 896355 1118223 1493925 1863705 2689065 2768741 3106175 3354669 4481775 5591115 8306223 9318525 13445325 13843705 16773345 17270333 24918669 27955575 41531115 51810999 69218525 74756007 83866725 86351665 124593345 155432997 207655575 259054995 373780035 431758325 466298991 622966725 777164985 1295274975 1868900175 2331494955 2474875993 3885824925 7424627979 11657474775 12374379965 22273883937 37123139895 61871899825 66821651811 111369419685 185615699475 334108259055 344007763027 556847098425 1032023289081 1670541295275 1720038815135 3096069867243 5160116445405 8600194075675 9288209601729 15480349336215 25800582227025 46441048008645 77401746681075 232205240043225