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232806 = 23723241
BaseRepresentation
bin111000110101100110
3102211100110
4320311212
524422211
64553450
71656510
oct706546
9384313
10232806
11149a02
12b2886
1381c72
1460bb0
1548ea6
hex38d66

232806 has 32 divisors (see below), whose sum is σ = 557568. Its totient is φ = 63360.

The previous prime is 232801. The next prime is 232811. The reversal of 232806 is 608232.

232806 = T20 + T21 + ... + T111.

It is an interprime number because it is at equal distance from previous prime (232801) and next prime (232811).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 232806.

It is not an unprimeable number, because it can be changed into a prime (232801) by changing a digit.

232806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (17424).

2232806 is an apocalyptic number.

It is a pronic number, being equal to 482×483.

It is a practical number, because each smaller number is the sum of distinct divisors of 232806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278784).

232806 is an abundant number, since it is smaller than the sum of its proper divisors (324762).

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

232806 is a wasteful number, since it uses less digits than its factorization.

232806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 232806 is about 482.4997409326. The cubic root of 232806 is about 61.5174119513.

The spelling of 232806 in words is "two hundred thirty-two thousand, eight hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 241 322 482 483 723 966 1446 1687 3374 5061 5543 10122 11086 16629 33258 38801 77602 116403 232806