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233082 = 23223563
BaseRepresentation
bin111000111001111010
3102211201200
4320321322
524424312
64555030
71660353
oct707172
9384650
10233082
1114a133
12b2a76
1382125
1460d2a
15490dc
hex38e7a

233082 has 24 divisors (see below), whose sum is σ = 527904. Its totient is φ = 74184.

The previous prime is 233071. The next prime is 233083. The reversal of 233082 is 280332.

233082 is digitally balanced in base 3, 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 (18).

It is not an unprimeable number, because it can be changed into a prime (233083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (21996).

2233082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263952).

233082 is an abundant number, since it is smaller than the sum of its proper divisors (294822).

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

233082 is a wasteful number, since it uses less digits than its factorization.

233082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 233082 is about 482.7856667301. The cubic root of 233082 is about 61.5417127289.

The spelling of 233082 in words is "two hundred thirty-three thousand, eighty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 563 1126 1689 3378 5067 10134 12949 25898 38847 77694 116541 233082