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230208 = 26311109
BaseRepresentation
bin111000001101000000
3102200210020
4320031000
524331313
64533440
71646106
oct701500
9380706
10230208
11147a60
12b1280
1380a24
145dc76
1548323
hex38340

230208 has 56 divisors (see below), whose sum is σ = 670560. Its totient is φ = 69120.

The previous prime is 230203. The next prime is 230213. The reversal of 230208 is 802032.

It is an interprime number because it is at equal distance from previous prime (230203) and next prime (230213).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230203) by changing a digit.

230208 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 7 ways as a sum of consecutive naturals, for example, 2058 + ... + 2166.

2230208 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 230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335280).

230208 is an abundant number, since it is smaller than the sum of its proper divisors (440352).

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

230208 is a wasteful number, since it uses less digits than its factorization.

230208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230208 is about 479.7999583160. The cubic root of 230208 is about 61.2877207605.

The spelling of 230208 in words is "two hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 132 176 192 218 264 327 352 436 528 654 704 872 1056 1199 1308 1744 2112 2398 2616 3488 3597 4796 5232 6976 7194 9592 10464 14388 19184 20928 28776 38368 57552 76736 115104 230208