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214006033 is a prime number
BaseRepresentation
bin11001100000101…
…11100100010001
3112220200122002101
430300113210101
5414241143113
633122520401
75206010203
oct1460274421
9486618071
10214006033
11aa88999a
125b806101
133544c3b7
14205ca773
1513bc42dd
hexcc17911

214006033 has 2 divisors, whose sum is σ = 214006034. Its totient is φ = 214006032.

The previous prime is 214006031. The next prime is 214006057. The reversal of 214006033 is 330600412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205549569 + 8456464 = 14337^2 + 2908^2 .

It is a cyclic number.

It is not a de Polignac number, because 214006033 - 21 = 214006031 is a prime.

Together with 214006031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 214006033.

It is not a weakly prime, because it can be changed into another prime (214006031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107003016 + 107003017.

It is an arithmetic number, because the mean of its divisors is an integer number (107003017).

Almost surely, 2214006033 is an apocalyptic number.

It is an amenable number.

214006033 is a deficient number, since it is larger than the sum of its proper divisors (1).

214006033 is an equidigital number, since it uses as much as digits as its factorization.

214006033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 214006033 is about 14628.9450405694. The cubic root of 214006033 is about 598.1480237808.

Adding to 214006033 its reverse (330600412), we get a palindrome (544606445).

The spelling of 214006033 in words is "two hundred fourteen million, six thousand, thirty-three".