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212032 = 263313
BaseRepresentation
bin110011110001000000
3101202212001
4303301000
523241112
64313344
71542112
oct636100
9352761
10212032
11135337
12a2854
1375682
14573b2
1542c57
hex33c40

212032 has 14 divisors (see below), whose sum is σ = 420878. Its totient is φ = 105984.

The previous prime is 212029. The next prime is 212039. The reversal of 212032 is 230212.

212032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 4096 = 456^2 + 64^2 .

It is not an unprimeable number, because it can be changed into a prime (212039) 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 as a sum of consecutive naturals, namely, 1593 + ... + 1720.

2212032 is an apocalyptic number.

It is an amenable number.

212032 is a deficient number, since it is larger than the sum of its proper divisors (208846).

212032 is an equidigital number, since it uses as much as digits as its factorization.

212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3315 counting only the distinct ones).

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

The square root of 212032 is about 460.4693257971. The cubic root of 212032 is about 59.6303195432.

Adding to 212032 its reverse (230212), we get a palindrome (442244).

The spelling of 212032 in words is "two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 3313 6626 13252 26504 53008 106016 212032