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233201009 is a prime number
BaseRepresentation
bin11011110011001…
…01110101110001
3121020210211122102
431321211311301
5434144413014
635050150145
75531114216
oct1571456561
9536724572
10233201009
1110a6aa408
1266122355
1339410282
1422d85b0d
15157168de
hexde65d71

233201009 has 2 divisors, whose sum is σ = 233201010. Its totient is φ = 233201008.

The previous prime is 233200949. The next prime is 233201011. The reversal of 233201009 is 900102332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178810384 + 54390625 = 13372^2 + 7375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233201009 is a prime.

Together with 233201011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (233201039) 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, 116600504 + 116600505.

It is an arithmetic number, because the mean of its divisors is an integer number (116600505).

Almost surely, 2233201009 is an apocalyptic number.

It is an amenable number.

233201009 is a deficient number, since it is larger than the sum of its proper divisors (1).

233201009 is an equidigital number, since it uses as much as digits as its factorization.

233201009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 233201009 is about 15270.9203717392. The cubic root of 233201009 is about 615.5218511130.

The spelling of 233201009 in words is "two hundred thirty-three million, two hundred one thousand, nine".