Search a number
-
+
33218401 is a prime number
BaseRepresentation
bin111111010110…
…1111101100001
32022111200002011
41332231331201
532000442101
63143552521
7552231436
oct176557541
968450064
1033218401
1117829527
12b15b741
136b60b78
1445a9b8d
152db2751
hex1fadf61

33218401 has 2 divisors, whose sum is σ = 33218402. Its totient is φ = 33218400.

The previous prime is 33218347. The next prime is 33218491. The reversal of 33218401 is 10481233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33074001 + 144400 = 5751^2 + 380^2 .

It is a cyclic number.

It is not a de Polignac number, because 33218401 - 29 = 33217889 is a prime.

It is a super-2 number, since 2×332184012 = 2206924329993602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33218491) 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, 16609200 + 16609201.

It is an arithmetic number, because the mean of its divisors is an integer number (16609201).

Almost surely, 233218401 is an apocalyptic number.

It is an amenable number.

33218401 is a deficient number, since it is larger than the sum of its proper divisors (1).

33218401 is an equidigital number, since it uses as much as digits as its factorization.

33218401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 33218401 is about 5763.5406652508. The cubic root of 33218401 is about 321.4594824406.

Adding to 33218401 its reverse (10481233), we get a palindrome (43699634).

The spelling of 33218401 in words is "thirty-three million, two hundred eighteen thousand, four hundred one".