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212106167 = 7132330837
BaseRepresentation
bin11001010010001…
…11101110110111
3112210010002221222
430221013232313
5413244344132
633014100555
75153605220
oct1451075667
9483102858
10212106167
11a9801559
125b04a75b
1334c35710
1420254247
151394b412
hexca47bb7

212106167 has 8 divisors (see below), whose sum is σ = 261053856. Its totient is φ = 167820192.

The previous prime is 212106151. The next prime is 212106197. The reversal of 212106167 is 761601212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212106167 - 24 = 212106151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212106197) 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, 1165328 + ... + 1165509.

It is an arithmetic number, because the mean of its divisors is an integer number (32631732).

Almost surely, 2212106167 is an apocalyptic number.

212106167 is a deficient number, since it is larger than the sum of its proper divisors (48947689).

212106167 is a wasteful number, since it uses less digits than its factorization.

212106167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330857.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 212106167 is about 14563.8651119818. The cubic root of 212106167 is about 596.3727145982.

Adding to 212106167 its reverse (761601212), we get a palindrome (973707379).

The spelling of 212106167 in words is "two hundred twelve million, one hundred six thousand, one hundred sixty-seven".

Divisors: 1 7 13 91 2330837 16315859 30300881 212106167