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200211232 = 25132411997
BaseRepresentation
bin10111110111011…
…11101100100000
3111221201210011211
423323233230200
5402223224412
631511115504
74650524134
oct1373575440
9457653154
10200211232
11a3017731
1257072b94
133262c4b0
141c8393c4
151289bca7
hexbeefb20

200211232 has 48 divisors (see below), whose sum is σ = 426461112. Its totient is φ = 91975680.

The previous prime is 200211229. The next prime is 200211233. The reversal of 200211232 is 232112002.

It can be written as a sum of positive squares in 4 ways, for example, as 103306896 + 96904336 = 10164^2 + 9844^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (200211233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99258 + ... + 101254.

Almost surely, 2200211232 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 200211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213230556).

200211232 is an abundant number, since it is smaller than the sum of its proper divisors (226249880).

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

200211232 is a wasteful number, since it uses less digits than its factorization.

200211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 200211232 is about 14149.6018318538. The cubic root of 200211232 is about 585.0093572419.

Adding to 200211232 its reverse (232112002), we get a palindrome (432323234).

The spelling of 200211232 in words is "two hundred million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 241 416 482 964 1928 1997 3133 3856 3994 6266 7712 7988 12532 15976 25064 25961 31952 50128 51922 63904 100256 103844 207688 415376 481277 830752 962554 1925108 3850216 6256601 7700432 12513202 15400864 25026404 50052808 100105616 200211232