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200512 = 2613241
BaseRepresentation
bin110000111101000000
3101012001101
4300331000
522404022
64144144
71463404
oct607500
9335041
10200512
11127714
1298054
1370360
1453104
153e627
hex30f40

200512 has 28 divisors (see below), whose sum is σ = 430276. Its totient is φ = 92160.

The previous prime is 200483. The next prime is 200513. The reversal of 200512 is 215002.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 112896 = 296^2 + 336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200513) 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, 712 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (15367).

2200512 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 200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215138).

200512 is an abundant number, since it is smaller than the sum of its proper divisors (229764).

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

200512 is a wasteful number, since it uses less digits than its factorization.

200512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 200512 is about 447.7856630130. The cubic root of 200512 is about 58.5302154767.

Adding to 200512 its reverse (215002), we get a palindrome (415514).

It can be divided in two parts, 200 and 512, that multiplied together give a square (102400 = 3202).

The spelling of 200512 in words is "two hundred thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 241 416 482 832 964 1928 3133 3856 6266 7712 12532 15424 25064 50128 100256 200512