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214051233 = 311172959223
BaseRepresentation
bin11001100001000…
…10100110100001
3112220202221002110
430300202212201
5414244114413
633123505533
75206256034
oct1460424641
9486687073
10214051233
11aa90a950
125b8282a9
1335466b46
14205dd01b
1513bd28c3
hexcc229a1

214051233 has 64 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 115368960.

The previous prime is 214051231. The next prime is 214051289. The reversal of 214051233 is 332150412.

It is not a de Polignac number, because 214051233 - 21 = 214051231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214051231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 959760 + ... + 959982.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2214051233 is an apocalyptic number.

It is an amenable number.

214051233 is a deficient number, since it is larger than the sum of its proper divisors (134313567).

214051233 is a wasteful number, since it uses less digits than its factorization.

214051233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 214051233 is about 14630.4898414236. The cubic root of 214051233 is about 598.1901322315.

The spelling of 214051233 in words is "two hundred fourteen million, fifty-one thousand, two hundred thirty-three".

Divisors: 1 3 11 17 29 33 51 59 87 177 187 223 319 493 561 649 669 957 1003 1479 1711 1947 2453 3009 3791 5133 5423 6467 7359 11033 11373 13157 16269 18821 19401 29087 33099 39471 41701 56463 71137 87261 109939 125103 144727 213411 223669 319957 329817 381553 434181 671007 959871 1144659 1209329 2460359 3627987 4197083 6486401 7381077 12591249 19459203 71350411 214051233