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208233 = 32171361
BaseRepresentation
bin110010110101101001
3101120122100
4302311221
523130413
64244013
71525044
oct626551
9346570
10208233
111324a3
12a0609
1373a1c
1455c5b
1541a73
hex32d69

208233 has 12 divisors (see below), whose sum is σ = 318708. Its totient is φ = 130560.

The previous prime is 208231. The next prime is 208253. The reversal of 208233 is 332802.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 110889 = 312^2 + 333^2 .

It is not a de Polignac number, because 208233 - 21 = 208231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208231) 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, 528 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (26559).

2208233 is an apocalyptic number.

It is an amenable number.

208233 is a deficient number, since it is larger than the sum of its proper divisors (110475).

208233 is a wasteful number, since it uses less digits than its factorization.

208233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1381 counting only the distinct ones).

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

The square root of 208233 is about 456.3255416915. The cubic root of 208233 is about 59.2720368810.

It can be divided in two parts, 208 and 233, that added together give a square (441 = 212).

The spelling of 208233 in words is "two hundred eight thousand, two hundred thirty-three".

Divisors: 1 3 9 17 51 153 1361 4083 12249 23137 69411 208233