Search a number
-
+
33714209 is a prime number
BaseRepresentation
bin1000000010011…
…1000000100001
32100102212012102
42000213000201
532112323314
63202340145
7556365104
oct200470041
970385172
1033714209
1118037a91
12b35a655
136ca5749
14469873b
152e5e5de
hex2027021

33714209 has 2 divisors, whose sum is σ = 33714210. Its totient is φ = 33714208.

The previous prime is 33714157. The next prime is 33714221. The reversal of 33714209 is 90241733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33408400 + 305809 = 5780^2 + 553^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33714209 is a prime.

It is a super-2 number, since 2×337142092 = 2273295776991362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33714229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16857104 + 16857105.

It is an arithmetic number, because the mean of its divisors is an integer number (16857105).

Almost surely, 233714209 is an apocalyptic number.

It is an amenable number.

33714209 is a deficient number, since it is larger than the sum of its proper divisors (1).

33714209 is an equidigital number, since it uses as much as digits as its factorization.

33714209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 33714209 is about 5806.3938033861. The cubic root of 33714209 is about 323.0509269928.

The spelling of 33714209 in words is "thirty-three million, seven hundred fourteen thousand, two hundred nine".