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212029 is a prime number
BaseRepresentation
bin110011110000111101
3101202211221
4303300331
523241104
64313341
71542106
oct636075
9352757
10212029
11135334
12a2851
137567c
14573ad
1542c54
hex33c3d

212029 has 2 divisors, whose sum is σ = 212030. Its totient is φ = 212028.

The previous prime is 211997. The next prime is 212039. The reversal of 212029 is 920212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139129 + 72900 = 373^2 + 270^2 .

It is a cyclic number.

It is not a de Polignac number, because 212029 - 25 = 211997 is a prime.

212029 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106014 + 106015.

It is an arithmetic number, because the mean of its divisors is an integer number (106015).

2212029 is an apocalyptic number.

It is an amenable number.

212029 is a deficient number, since it is larger than the sum of its proper divisors (1).

212029 is an equidigital number, since it uses as much as digits as its factorization.

212029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 212029 is about 460.4660682396. The cubic root of 212029 is about 59.6300383092.

The spelling of 212029 in words is "two hundred twelve thousand, twenty-nine".