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232206 = 23132229
BaseRepresentation
bin111000101100001110
3102210112020
4320230032
524412311
64551010
71654662
oct705416
9383466
10232206
11149507
12b2466
1381900
14608a2
1548c06
hex38b0e

232206 has 24 divisors (see below), whose sum is σ = 505080. Its totient is φ = 71136.

The previous prime is 232189. The next prime is 232207. The reversal of 232206 is 602232.

232206 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232207) 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, 900 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (21045).

2232206 is an apocalyptic number.

232206 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 232206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252540).

232206 is an abundant number, since it is smaller than the sum of its proper divisors (272874).

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

232206 is a wasteful number, since it uses less digits than its factorization.

232206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232206 is about 481.8775778141. The cubic root of 232206 is about 61.4645178366.

Adding to 232206 its sum of digits (15), we get a triangular number (232221 = T681).

Adding to 232206 its reverse (602232), we get a palindrome (834438).

The spelling of 232206 in words is "two hundred thirty-two thousand, two hundred six".

Divisors: 1 2 3 6 13 26 39 78 169 229 338 458 507 687 1014 1374 2977 5954 8931 17862 38701 77402 116103 232206