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232029 = 32729127
BaseRepresentation
bin111000101001011101
3102210021200
4320221131
524411104
64550113
71654320
oct705135
9383250
10232029
11149366
12b2339
13817c5
14607b7
1548b39
hex38a5d

232029 has 24 divisors (see below), whose sum is σ = 399360. Its totient is φ = 127008.

The previous prime is 232013. The next prime is 232049. The reversal of 232029 is 920232.

232029 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232029 - 24 = 232013 is a prime.

232029 is strictly pandigital in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 232029.

It is not an unprimeable number, because it can be changed into a prime (232049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764 + ... + 1890.

It is an arithmetic number, because the mean of its divisors is an integer number (16640).

2232029 is an apocalyptic number.

232029 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

232029 is a deficient number, since it is larger than the sum of its proper divisors (167331).

232029 is a wasteful number, since it uses less digits than its factorization.

232029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 232029 is about 481.6938861974. The cubic root of 232029 is about 61.4488966711.

The spelling of 232029 in words is "two hundred thirty-two thousand, twenty-nine".

Divisors: 1 3 7 9 21 29 63 87 127 203 261 381 609 889 1143 1827 2667 3683 8001 11049 25781 33147 77343 232029