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221106067 = 71313271831
BaseRepresentation
bin11010010110111…
…00111110010011
3120102001100111121
431023130332103
5423100343232
633535023111
75323241050
oct1513347623
9512040447
10221106067
11103899296
126206aa97
1336a66cc0
1421518027
1514627d97
hexd2dcf93

221106067 has 16 divisors (see below), whose sum is σ = 272484352. Its totient is φ = 174713760.

The previous prime is 221106031. The next prime is 221106073. The reversal of 221106067 is 760601122.

It is not a de Polignac number, because 221106067 - 27 = 221105939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221106367) 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 15 ways as a sum of consecutive naturals, for example, 119842 + ... + 121672.

It is an arithmetic number, because the mean of its divisors is an integer number (17030272).

Almost surely, 2221106067 is an apocalyptic number.

221106067 is a deficient number, since it is larger than the sum of its proper divisors (51378285).

221106067 is a wasteful number, since it uses less digits than its factorization.

221106067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 221106067 is about 14869.6357386454. The cubic root of 221106067 is about 604.6910673743.

Adding to 221106067 its reverse (760601122), we get a palindrome (981707189).

The spelling of 221106067 in words is "two hundred twenty-one million, one hundred six thousand, sixty-seven".

Divisors: 1 7 13 91 1327 1831 9289 12817 17251 23803 120757 166621 2429737 17008159 31586581 221106067