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223132033 is a prime number
BaseRepresentation
bin11010100110010…
…11100110000001
3120112212021121101
431103023212001
5424110211113
634050254401
75346406465
oct1523134601
9515767541
10223132033
11104a52443
1262887401
13372c61b7
14218c44a5
15148c82dd
hexd4cb981

223132033 has 2 divisors, whose sum is σ = 223132034. Its totient is φ = 223132032.

The previous prime is 223132027. The next prime is 223132069. The reversal of 223132033 is 330231322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142635249 + 80496784 = 11943^2 + 8972^2 .

It is a cyclic number.

It is not a de Polignac number, because 223132033 - 25 = 223132001 is a prime.

It is a super-3 number, since 3×2231320333 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223132033.

It is not a weakly prime, because it can be changed into another prime (223132433) 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, 111566016 + 111566017.

It is an arithmetic number, because the mean of its divisors is an integer number (111566017).

Almost surely, 2223132033 is an apocalyptic number.

It is an amenable number.

223132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

223132033 is an equidigital number, since it uses as much as digits as its factorization.

223132033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 223132033 is about 14937.6046607212. The cubic root of 223132033 is about 606.5323566873.

Adding to 223132033 its reverse (330231322), we get a palindrome (553363355).

The spelling of 223132033 in words is "two hundred twenty-three million, one hundred thirty-two thousand, thirty-three".