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200200512 = 2631636397
BaseRepresentation
bin10111110111011…
…01000101000000
3111221201020110210
423323231011000
5402222404022
631510554120
74650450651
oct1373550500
9457636423
10200200512
11a300a676
1257068940
1332627655
141c835528
1512898a0c
hexbeed140

200200512 has 56 divisors (see below), whose sum is σ = 533030176. Its totient is φ = 66313728.

The previous prime is 200200493. The next prime is 200200513. The reversal of 200200512 is 215002002.

200200512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28098 + ... + 34494.

It is an arithmetic number, because the mean of its divisors is an integer number (9518396).

Almost surely, 2200200512 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 200200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266515088).

200200512 is an abundant number, since it is smaller than the sum of its proper divisors (332829664).

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

200200512 is a wasteful number, since it uses less digits than its factorization.

200200512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6575 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 200200512 is about 14149.2230175370. The cubic root of 200200512 is about 584.9989159159.

Adding to 200200512 its reverse (215002002), we get a palindrome (415202514).

The spelling of 200200512 in words is "two hundred million, two hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 978 1304 1956 2608 3912 5216 6397 7824 10432 12794 15648 19191 25588 31296 38382 51176 76764 102352 153528 204704 307056 409408 614112 1042711 1228224 2085422 3128133 4170844 6256266 8341688 12512532 16683376 25025064 33366752 50050128 66733504 100100256 200200512