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233138329 is a prime number
BaseRepresentation
bin11011110010101…
…10100010011001
3121020200122122221
431321112202121
5434140411304
635044544041
75530433404
oct1571264231
9536618587
10233138329
1110a667306
12660b2021
13393ba898
1422d6ad3b
1515703054
hexde56899

233138329 has 2 divisors, whose sum is σ = 233138330. Its totient is φ = 233138328.

The previous prime is 233138309. The next prime is 233138333. The reversal of 233138329 is 923831332.

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., 208138329 + 25000000 = 14427^2 + 5000^2 .

It is a cyclic number.

It is not a de Polignac number, because 233138329 - 27 = 233138201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233138294 and 233138303.

It is not a weakly prime, because it can be changed into another prime (233138309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116569164 + 116569165.

It is an arithmetic number, because the mean of its divisors is an integer number (116569165).

Almost surely, 2233138329 is an apocalyptic number.

It is an amenable number.

233138329 is a deficient number, since it is larger than the sum of its proper divisors (1).

233138329 is an equidigital number, since it uses as much as digits as its factorization.

233138329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 34.

The square root of 233138329 is about 15268.8679672070. The cubic root of 233138329 is about 615.4666993123.

The spelling of 233138329 in words is "two hundred thirty-three million, one hundred thirty-eight thousand, three hundred twenty-nine".