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232243202342232 = 233212725398425453
BaseRepresentation
bin110100110011100101010101…
…100100111011110101011000
31010110022020022002021201201100
4310303211111210323311120
5220420033034244422412
62141535015415551400
766630006025223454
oct6463452544736530
91113266262251640
10232243202342232
1167aaa875177554
122206a35668b560
139c78594912873
14414c8b9547664
151bcb2a2eb3edc
hexd3395593bd58

232243202342232 has 48 divisors (see below), whose sum is σ = 633944699331840. Its totient is φ = 76804838566848.

The previous prime is 232243202342141. The next prime is 232243202342233.

It is a happy number.

232243202342232 is a `hidden beast` number, since 2 + 3 + 2 + 24 + 3 + 202 + 3 + 422 + 3 + 2 = 666.

232243202342232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232243202342233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12699203583 + ... + 12699221870.

It is an arithmetic number, because the mean of its divisors is an integer number (13207181236080).

Almost surely, 2232243202342232 is an apocalyptic number.

It is an amenable number.

232243202342232 is an abundant number, since it is smaller than the sum of its proper divisors (401701496989608).

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

232243202342232 is a wasteful number, since it uses less digits than its factorization.

232243202342232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25398425592 (or 25398425585 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 23224320 and 2342232, that added together give a palindrome (25566552).

The spelling of 232243202342232 in words is "two hundred thirty-two trillion, two hundred forty-three billion, two hundred two million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 25398425453 50796850906 76195276359 101593701812 152390552718 203187403624 228585829077 304781105436 457171658154 609562210872 914343316308 1828686632616 3225600032531 6451200065062 9676800097593 12902400130124 19353600195186 25804800260248 29030400292779 38707200390372 58060800585558 77414400780744 116121601171116 232243202342232