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214067966 = 2722975323
BaseRepresentation
bin11001100001001…
…10101011111110
3112220210210001012
430300212223332
5414300133331
633124115222
75206355600
oct1460465376
9486723035
10214067966
11aa921482
125b835b12
1335471648
1420605170
1513bd782b
hexcc26afe

214067966 has 24 divisors (see below), whose sum is σ = 386412120. Its totient is φ = 88578672.

The previous prime is 214067963. The next prime is 214068031. The reversal of 214067966 is 669760412.

214067966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214067963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34820 + ... + 40503.

It is an arithmetic number, because the mean of its divisors is an integer number (16100505).

Almost surely, 2214067966 is an apocalyptic number.

214067966 is a deficient number, since it is larger than the sum of its proper divisors (172344154).

214067966 is a wasteful number, since it uses less digits than its factorization.

214067966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75368 (or 75361 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 214067966 is about 14631.0616839654. The cubic root of 214067966 is about 598.2057192392.

The spelling of 214067966 in words is "two hundred fourteen million, sixty-seven thousand, nine hundred sixty-six".

Divisors: 1 2 7 14 29 49 58 98 203 406 1421 2842 75323 150646 527261 1054522 2184367 3690827 4368734 7381654 15290569 30581138 107033983 214067966