Search a number
-
+
33198629 is a prime number
BaseRepresentation
bin111111010100…
…1001000100101
32022110122221212
41332221020211
531444324004
63143321205
7552120002
oct176511045
968418855
1033198629
1117815692
12b150205
136b54b79
1445a28a9
152dab96e
hex1fa9225

33198629 has 2 divisors, whose sum is σ = 33198630. Its totient is φ = 33198628.

The previous prime is 33198587. The next prime is 33198631. The reversal of 33198629 is 92689133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29138404 + 4060225 = 5398^2 + 2015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33198629 is a prime.

It is a super-2 number, since 2×331986292 = 2204297934959282, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 33198631, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33198029) 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 as a sum of consecutive naturals, namely, 16599314 + 16599315.

It is an arithmetic number, because the mean of its divisors is an integer number (16599315).

Almost surely, 233198629 is an apocalyptic number.

It is an amenable number.

33198629 is a deficient number, since it is larger than the sum of its proper divisors (1).

33198629 is an equidigital number, since it uses as much as digits as its factorization.

33198629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69984, while the sum is 41.

The square root of 33198629 is about 5761.8251448651. The cubic root of 33198629 is about 321.3956909059.

The spelling of 33198629 in words is "thirty-three million, one hundred ninety-eight thousand, six hundred twenty-nine".