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211668968 = 23719198937
BaseRepresentation
bin11001001110111…
…00111111101000
3112202021220020102
430213130333220
5413141401333
633000444532
75150104460
oct1447347750
9482256212
10211668968
11a9533035
125aa79748
1334b11714
142017cba0
15138b1ae8
hexc9dcfe8

211668968 has 32 divisors (see below), whose sum is σ = 477451200. Its totient is φ = 85940352.

The previous prime is 211668943. The next prime is 211668991. The reversal of 211668968 is 869866112.

It is an unprimeable number.

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, 98405 + ... + 100532.

It is an arithmetic number, because the mean of its divisors is an integer number (14920350).

Almost surely, 2211668968 is an apocalyptic number.

211668968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

211668968 is an abundant number, since it is smaller than the sum of its proper divisors (265782232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211668968 is a wasteful number, since it uses less digits than its factorization.

211668968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198969 (or 198965 counting only the distinct ones).

The product of its digits is 248832, while the sum is 47.

The square root of 211668968 is about 14548.8476519620. The cubic root of 211668968 is about 595.9626795243.

The spelling of 211668968 in words is "two hundred eleven million, six hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 198937 397874 795748 1392559 1591496 2785118 3779803 5570236 7559606 11140472 15119212 26458621 30238424 52917242 105834484 211668968