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208252 = 22114733
BaseRepresentation
bin110010110101111100
3101120200001
4302311330
523131002
64244044
71525102
oct626574
9346601
10208252
11132510
12a0624
1373a35
1455c72
1541a87
hex32d7c

208252 has 12 divisors (see below), whose sum is σ = 397656. Its totient is φ = 94640.

The previous prime is 208231. The next prime is 208253. The reversal of 208252 is 252802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208253) by changing a digit.

208252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2323 + ... + 2410.

It is an arithmetic number, because the mean of its divisors is an integer number (33138).

2208252 is an apocalyptic number.

208252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

208252 is a deficient number, since it is larger than the sum of its proper divisors (189404).

208252 is a wasteful number, since it uses less digits than its factorization.

208252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 208252 is about 456.3463596875. The cubic root of 208252 is about 59.2738395643.

The spelling of 208252 in words is "two hundred eight thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 44 4733 9466 18932 52063 104126 208252