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23208 = 233967
BaseRepresentation
bin101101010101000
31011211120
411222220
51220313
6255240
7124443
oct55250
934746
1023208
1116489
1211520
13a743
14865a
156d23
hex5aa8

23208 has 16 divisors (see below), whose sum is σ = 58080. Its totient is φ = 7728.

The previous prime is 23203. The next prime is 23209. The reversal of 23208 is 80232.

It is a super-2 number, since 2×232082 = 1077222528, which contains 22 as substring.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23201) 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, 460 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (3630).

223208 is an apocalyptic number.

It is an amenable number.

23208 is an abundant number, since it is smaller than the sum of its proper divisors (34872).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29040).

23208 is a wasteful number, since it uses less digits than its factorization.

23208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 972 counting only the distinct ones).

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

The square root of 23208 is about 152.3417211403. The cubic root of 23208 is about 28.5241408262.

It can be divided in two parts, 23 and 208, that added together give a triangular number (231 = T21).

The spelling of 23208 in words is "twenty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 24 967 1934 2901 3868 5802 7736 11604 23208