Search a number
-
+
33078233 is a prime number
BaseRepresentation
bin111111000101…
…1101111011001
32022020112210202
41332023233121
531432000413
63140551545
7551105666
oct176135731
968215722
1033078233
1117743191
12b0b25b5
136b12126
144570a6d
152d85e58
hex1f8bbd9

33078233 has 2 divisors, whose sum is σ = 33078234. Its totient is φ = 33078232.

The previous prime is 33078229. The next prime is 33078263. The reversal of 33078233 is 33287033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25938649 + 7139584 = 5093^2 + 2672^2 .

It is a cyclic number.

It is not a de Polignac number, because 33078233 - 22 = 33078229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33078196 and 33078205.

It is not a weakly prime, because it can be changed into another prime (33078263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16539116 + 16539117.

It is an arithmetic number, because the mean of its divisors is an integer number (16539117).

Almost surely, 233078233 is an apocalyptic number.

It is an amenable number.

33078233 is a deficient number, since it is larger than the sum of its proper divisors (1).

33078233 is an equidigital number, since it uses as much as digits as its factorization.

33078233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 33078233 is about 5751.3679242420. The cubic root of 33078233 is about 321.0067026935.

The spelling of 33078233 in words is "thirty-three million, seventy-eight thousand, two hundred thirty-three".