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200012032 = 28113587
BaseRepresentation
bin10111110101111…
…11000100000000
3111221100122221001
423322333010000
5402200341112
631502541344
74646034313
oct1372770400
9457318831
10200012032
11a29a1000
1256b97854
133258c91c
141c7c697a
151285cc57
hexbebf100

200012032 has 72 divisors (see below), whose sum is σ = 439885152. Its totient is φ = 90759680.

The previous prime is 200012027. The next prime is 200012077. The reversal of 200012032 is 230210002.

200012032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340443 + ... + 341029.

It is an arithmetic number, because the mean of its divisors is an integer number (6109516).

Almost surely, 2200012032 is an apocalyptic number.

200012032 is a gapful number since it is divisible by the number (22) 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 200012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219942576).

200012032 is an abundant number, since it is smaller than the sum of its proper divisors (239873120).

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

200012032 is an frugal number, since it uses more digits than its factorization.

200012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200012032 is about 14142.5610127728. The cubic root of 200012032 is about 584.8152746679.

Adding to 200012032 its reverse (230210002), we get a palindrome (430222034).

The spelling of 200012032 in words is "two hundred million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 587 704 968 1174 1331 1408 1936 2348 2662 2816 3872 4696 5324 6457 7744 9392 10648 12914 15488 18784 21296 25828 30976 37568 42592 51656 71027 75136 85184 103312 142054 150272 170368 206624 284108 340736 413248 568216 781297 826496 1136432 1562594 1652992 2272864 3125188 4545728 6250376 9091456 12500752 18182912 25001504 50003008 100006016 200012032