Search a number
-
+
33322841 is a prime number
BaseRepresentation
bin111111100011…
…1011101011001
32022200222100022
41333013131121
532012312331
63150120225
7553145066
oct177073531
968628308
1033322841
111789aa42
12b1b0075
136b99576
1445d5c6d
152dd367b
hex1fc7759

33322841 has 2 divisors, whose sum is σ = 33322842. Its totient is φ = 33322840.

The previous prime is 33322813. The next prime is 33322843. The reversal of 33322841 is 14822333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33235225 + 87616 = 5765^2 + 296^2 .

It is a cyclic number.

It is not a de Polignac number, because 33322841 - 210 = 33321817 is a prime.

It is a super-2 number, since 2×333228412 = 2220823464622562, which contains 22 as substring.

Together with 33322843, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33322841.

It is not a weakly prime, because it can be changed into another prime (33322843) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16661420 + 16661421.

It is an arithmetic number, because the mean of its divisors is an integer number (16661421).

Almost surely, 233322841 is an apocalyptic number.

It is an amenable number.

33322841 is a deficient number, since it is larger than the sum of its proper divisors (1).

33322841 is an equidigital number, since it uses as much as digits as its factorization.

33322841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 26.

The square root of 33322841 is about 5772.5939576589. The cubic root of 33322841 is about 321.7960238701.

The spelling of 33322841 in words is "thirty-three million, three hundred twenty-two thousand, eight hundred forty-one".