Search a number
-
+
33268993 is a prime number
BaseRepresentation
bin111111011101…
…0010100000001
32022121020110221
41332322110001
532004101433
63145023041
7552532102
oct176722401
968536427
1033268993
111786353a
12b184a81
136b7abc4
1445c03a9
152dc272d
hex1fba501

33268993 has 2 divisors, whose sum is σ = 33268994. Its totient is φ = 33268992.

The previous prime is 33268931. The next prime is 33269009. The reversal of 33268993 is 39986233.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30283009 + 2985984 = 5503^2 + 1728^2 .

It is a cyclic number.

It is not a de Polignac number, because 33268993 - 217 = 33137921 is a prime.

It is a super-2 number, since 2×332689932 = 2213651790468098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33268913) 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, 16634496 + 16634497.

It is an arithmetic number, because the mean of its divisors is an integer number (16634497).

Almost surely, 233268993 is an apocalyptic number.

It is an amenable number.

33268993 is a deficient number, since it is larger than the sum of its proper divisors (1).

33268993 is an equidigital number, since it uses as much as digits as its factorization.

33268993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 209952, while the sum is 43.

The square root of 33268993 is about 5767.9279641826. The cubic root of 33268993 is about 321.6225951355.

The spelling of 33268993 in words is "thirty-three million, two hundred sixty-eight thousand, nine hundred ninety-three".