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233208013 is a prime number
BaseRepresentation
bin11011110011001…
…11100011001101
3121020211012020211
431321213203031
5434200124023
635050242421
75531143513
oct1571474315
9536735224
10233208013
1110a7046a5
1266126411
133941350c
1422d884b3
1515718a0d
hexde678cd

233208013 has 2 divisors, whose sum is σ = 233208014. Its totient is φ = 233208012.

The previous prime is 233208011. The next prime is 233208037. The reversal of 233208013 is 310802332.

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., 228705129 + 4502884 = 15123^2 + 2122^2 .

It is a cyclic number.

It is not a de Polignac number, because 233208013 - 21 = 233208011 is a prime.

Together with 233208011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233208011) 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, 116604006 + 116604007.

It is an arithmetic number, because the mean of its divisors is an integer number (116604007).

Almost surely, 2233208013 is an apocalyptic number.

It is an amenable number.

233208013 is a deficient number, since it is larger than the sum of its proper divisors (1).

233208013 is an equidigital number, since it uses as much as digits as its factorization.

233208013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 233208013 is about 15271.1496947676. The cubic root of 233208013 is about 615.5280132817.

The spelling of 233208013 in words is "two hundred thirty-three million, two hundred eight thousand, thirteen".