Search a number
-
+
233305213 is a prime number
BaseRepresentation
bin11011110011111…
…11010001111101
3121021000010120211
431321333101331
5434211231323
635052312421
75532030061
oct1571772175
9537003524
10233305213
1110a770729
1266172711
133944882b
1422db1aa1
151573770d
hexde7f47d

233305213 has 2 divisors, whose sum is σ = 233305214. Its totient is φ = 233305212.

The previous prime is 233305207. The next prime is 233305217. The reversal of 233305213 is 312503332.

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., 117570649 + 115734564 = 10843^2 + 10758^2 .

It is a cyclic number.

It is not a de Polignac number, because 233305213 - 25 = 233305181 is a prime.

It is a super-3 number, since 3×2333052133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233305217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116652606 + 116652607.

It is an arithmetic number, because the mean of its divisors is an integer number (116652607).

Almost surely, 2233305213 is an apocalyptic number.

It is an amenable number.

233305213 is a deficient number, since it is larger than the sum of its proper divisors (1).

233305213 is an equidigital number, since it uses as much as digits as its factorization.

233305213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 233305213 is about 15274.3318348136. The cubic root of 233305213 is about 615.6135177946.

Adding to 233305213 its reverse (312503332), we get a palindrome (545808545).

The spelling of 233305213 in words is "two hundred thirty-three million, three hundred five thousand, two hundred thirteen".