Search a number
-
+
21166167 = 311258309
BaseRepresentation
bin101000010111…
…1100001010111
31110211100112010
41100233201113
520404304132
62033355303
7344623641
oct120574127
943740463
1021166167
1110a47500
127108b33
134501179
142b4d891
151cd16cc
hex142f857

21166167 has 12 divisors (see below), whose sum is σ = 31020920. Its totient is φ = 12827760.

The previous prime is 21166163. The next prime is 21166177. The reversal of 21166167 is 76166112.

It is not a de Polignac number, because 21166167 - 22 = 21166163 is a prime.

It is a super-3 number, since 3×211661673 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21166163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28792 + ... + 29517.

Almost surely, 221166167 is an apocalyptic number.

21166167 is a deficient number, since it is larger than the sum of its proper divisors (9854753).

21166167 is a wasteful number, since it uses less digits than its factorization.

21166167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58334 (or 58323 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 21166167 is about 4600.6702772531. The cubic root of 21166167 is about 276.6181926655.

Subtracting 21166167 from its reverse (76166112), we obtain a palindrome (54999945).

The spelling of 21166167 in words is "twenty-one million, one hundred sixty-six thousand, one hundred sixty-seven".

Divisors: 1 3 11 33 121 363 58309 174927 641399 1924197 7055389 21166167