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212000193 = 3361971327
BaseRepresentation
bin11001010001011…
…01110111000001
3112202220201121000
430220231313001
5413233001233
633011522213
75152654236
oct1450556701
9482821530
10212000193
11a9739979
125abb9369
1334bc9402
142022778d
1513929d13
hexca2ddc1

212000193 has 32 divisors (see below), whose sum is σ = 322757120. Its totient is φ = 137479680.

The previous prime is 212000189. The next prime is 212000203. The reversal of 212000193 is 391000212.

It is a happy number.

212000193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212000193 - 22 = 212000189 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212000143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159096 + ... + 160422.

It is an arithmetic number, because the mean of its divisors is an integer number (10086160).

Almost surely, 2212000193 is an apocalyptic number.

It is an amenable number.

212000193 is a deficient number, since it is larger than the sum of its proper divisors (110756927).

212000193 is a wasteful number, since it uses less digits than its factorization.

212000193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 212000193 is about 14560.2264062067. The cubic root of 212000193 is about 596.2733767189.

The spelling of 212000193 in words is "two hundred twelve million, one hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 9 27 61 97 183 291 549 873 1327 1647 2619 3981 5917 11943 17751 35829 53253 80947 128719 159759 242841 386157 728523 1158471 2185569 3475413 7851859 23555577 70666731 212000193