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232575050232 = 233271999323081
BaseRepresentation
bin1101100010011010001…
…1011010000111111000
3211020022112222200201100
43120212203122013320
512302303203101412
6254502110251400
722542266210640
oct3304643320770
9736275880640
10232575050232
118a6a8609618
12390a8ab6b60
1318c1602cb25
14b384515520
1560b31a0edc
hex36268da1f8

232575050232 has 96 divisors (see below), whose sum is σ = 719942352480. Its totient is φ = 66443811840.

The previous prime is 232575050203. The next prime is 232575050233. The reversal of 232575050232 is 232050575232.

232575050232 is a `hidden beast` number, since 2 + 3 + 2 + 575 + 0 + 50 + 2 + 32 = 666.

232575050232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (232575050233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10064932 + ... + 10088012.

It is an arithmetic number, because the mean of its divisors is an integer number (7499399505).

Almost surely, 2232575050232 is an apocalyptic number.

It is an amenable number.

232575050232 is an abundant number, since it is smaller than the sum of its proper divisors (487367302248).

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

232575050232 is a wasteful number, since it uses less digits than its factorization.

232575050232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43093 (or 43086 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The spelling of 232575050232 in words is "two hundred thirty-two billion, five hundred seventy-five million, fifty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 19993 23081 39986 46162 59979 69243 79972 92324 119958 138486 139951 159944 161567 179937 184648 207729 239916 276972 279902 323134 359874 415458 419853 479832 484701 553944 559804 646268 719748 830916 839706 969402 1119608 1259559 1292536 1439496 1454103 1661832 1679412 1938804 2519118 2908206 3358824 3877608 5038236 5816412 10076472 11632824 461458433 922916866 1384375299 1845833732 2768750598 3230209031 3691667464 4153125897 5537501196 6460418062 8306251794 9690627093 11075002392 12920836124 16612503588 19381254186 25841672248 29071881279 33225007176 38762508372 58143762558 77525016744 116287525116 232575050232