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232208 = 2423631
BaseRepresentation
bin111000101100010000
3102210112022
4320230100
524412313
64551012
71654664
oct705420
9383468
10232208
11149509
12b2468
1381902
14608a4
1548c08
hex38b10

232208 has 20 divisors (see below), whose sum is σ = 470208. Its totient is φ = 110880.

The previous prime is 232207. The next prime is 232217. The reversal of 232208 is 802232.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 232208.

It is not an unprimeable number, because it can be changed into a prime (232207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 683.

2232208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235104).

232208 is an abundant number, since it is smaller than the sum of its proper divisors (238000).

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

232208 is a wasteful number, since it uses less digits than its factorization.

232208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 232208 is about 481.8796530255. The cubic root of 232208 is about 61.4646943016.

The spelling of 232208 in words is "two hundred thirty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 46 92 184 368 631 1262 2524 5048 10096 14513 29026 58052 116104 232208