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203200 = 2652127
BaseRepresentation
bin110001100111000000
3101022201221
4301213000
523000300
64204424
71504264
oct614700
9338657
10203200
11129738
1299714
137164a
14540a4
154031a
hex319c0

203200 has 42 divisors (see below), whose sum is σ = 503936. Its totient is φ = 80640.

The previous prime is 203183. The next prime is 203207. The reversal of 203200 is 2302.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203207) 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 5 ways as a sum of consecutive naturals, for example, 1537 + ... + 1663.

2203200 is an apocalyptic number.

203200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251968).

203200 is an abundant number, since it is smaller than the sum of its proper divisors (300736).

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

203200 is a wasteful number, since it uses less digits than its factorization.

203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 203200 is about 450.7771067834. Note that the first 3 decimals coincide. The cubic root of 203200 is about 58.7906011787.

Adding to 203200 its reverse (2302), we get a palindrome (205502).

It can be divided in two parts, 20 and 3200, that multiplied together give a cube (64000 = 403).

The spelling of 203200 in words is "two hundred three thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 127 160 200 254 320 400 508 635 800 1016 1270 1600 2032 2540 3175 4064 5080 6350 8128 10160 12700 20320 25400 40640 50800 101600 203200