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233225033 is a prime number
BaseRepresentation
bin11011110011010…
…11101101001001
3121020212001121012
431321223231021
5434201200113
635050453305
75531244236
oct1571535511
9536761535
10233225033
1110a716468
1266134235
133941b1a2
1422d9078d
151571daa8
hexde6bb49

233225033 has 2 divisors, whose sum is σ = 233225034. Its totient is φ = 233225032.

The previous prime is 233225029. The next prime is 233225071. The reversal of 233225033 is 330522332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210453049 + 22771984 = 14507^2 + 4772^2 .

It is a cyclic number.

It is not a de Polignac number, because 233225033 - 22 = 233225029 is a prime.

It is a super-3 number, since 3×2332250333 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (233225093) 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, 116612516 + 116612517.

It is an arithmetic number, because the mean of its divisors is an integer number (116612517).

Almost surely, 2233225033 is an apocalyptic number.

It is an amenable number.

233225033 is a deficient number, since it is larger than the sum of its proper divisors (1).

233225033 is an equidigital number, since it uses as much as digits as its factorization.

233225033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 23.

The square root of 233225033 is about 15271.7069445429. The cubic root of 233225033 is about 615.5429870839.

Adding to 233225033 its reverse (330522332), we get a palindrome (563747365).

The spelling of 233225033 in words is "two hundred thirty-three million, two hundred twenty-five thousand, thirty-three".