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214002033 = 3710795239
BaseRepresentation
bin11001100000101…
…10100101110001
3112220200102121020
430300112211301
5414241031113
633122450053
75205662430
oct1460264561
9486612536
10214002033
11aa886993
125b803929
133544a62b
14205c9117
1513bc3023
hexcc16971

214002033 has 16 divisors (see below), whose sum is σ = 329149440. Its totient is φ = 121142736.

The previous prime is 214002031. The next prime is 214002059. The reversal of 214002033 is 330200412.

It is not a de Polignac number, because 214002033 - 21 = 214002031 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214002031) 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 15 ways as a sum of consecutive naturals, for example, 45373 + ... + 49866.

It is an arithmetic number, because the mean of its divisors is an integer number (20571840).

Almost surely, 2214002033 is an apocalyptic number.

It is an amenable number.

214002033 is a deficient number, since it is larger than the sum of its proper divisors (115147407).

214002033 is a wasteful number, since it uses less digits than its factorization.

214002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95356.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 214002033 is about 14628.8083246722. The cubic root of 214002033 is about 598.1442970837.

Adding to 214002033 its reverse (330200412), we get a palindrome (544202445).

The spelling of 214002033 in words is "two hundred fourteen million, two thousand, thirty-three".

Divisors: 1 3 7 21 107 321 749 2247 95239 285717 666673 2000019 10190573 30571719 71334011 214002033