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212114 = 27109139
BaseRepresentation
bin110011110010010010
3101202222002
4303302102
523241424
64314002
71542260
oct636222
9352862
10212114
11135401
12a2902
1375716
1457430
1542cae
hex33c92

212114 has 16 divisors (see below), whose sum is σ = 369600. Its totient is φ = 89424.

The previous prime is 212099. The next prime is 212117. The reversal of 212114 is 411212.

212114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212095 and 212104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212114.

It is not an unprimeable number, because it can be changed into a prime (212117) by changing a digit.

212114 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1457 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2212114 is an apocalyptic number.

212114 is a deficient number, since it is larger than the sum of its proper divisors (157486).

212114 is a wasteful number, since it uses less digits than its factorization.

212114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its digits is 16, while the sum is 11.

The square root of 212114 is about 460.5583567801. The cubic root of 212114 is about 59.6380055780.

Adding to 212114 its reverse (411212), we get a palindrome (623326).

The spelling of 212114 in words is "two hundred twelve thousand, one hundred fourteen", and thus it is an iban number.

Divisors: 1 2 7 14 109 139 218 278 763 973 1526 1946 15151 30302 106057 212114