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33000241 is a prime number
BaseRepresentation
bin111110111100…
…0101100110001
32022002120211011
41331320230301
531422001431
63135150521
7550332421
oct175705461
968076734
1033000241
111769a62a
12b075441
136ab5791
144550481
152d6ccb1
hex1f78b31

33000241 has 2 divisors, whose sum is σ = 33000242. Its totient is φ = 33000240.

The previous prime is 33000223. The next prime is 33000259. The reversal of 33000241 is 14200033.

It is a balanced prime because it is at equal distance from previous prime (33000223) and next prime (33000259).

It can be written as a sum of positive squares in only one way, i.e., 32729841 + 270400 = 5721^2 + 520^2 .

It is a cyclic number.

It is not a de Polignac number, because 33000241 - 219 = 32475953 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33000271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16500120 + 16500121.

It is an arithmetic number, because the mean of its divisors is an integer number (16500121).

Almost surely, 233000241 is an apocalyptic number.

It is an amenable number.

33000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

33000241 is an equidigital number, since it uses as much as digits as its factorization.

33000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 33000241 is about 5744.5836228573. The cubic root of 33000241 is about 320.7542138217.

Adding to 33000241 its reverse (14200033), we get a palindrome (47200274).

The spelling of 33000241 in words is "thirty-three million, two hundred forty-one", and thus it is an aban number.