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233297117 is a prime number
BaseRepresentation
bin11011110011111…
…01010011011101
3121020222201110222
431321331103131
5434211001432
635052211125
75531664344
oct1571752335
9536881428
10233297117
1110a765639
1266169aa5
1339444c41
1422dacb5b
1515735112
hexde7d4dd

233297117 has 2 divisors, whose sum is σ = 233297118. Its totient is φ = 233297116.

The previous prime is 233297107. The next prime is 233297131. The reversal of 233297117 is 711792332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139381636 + 93915481 = 11806^2 + 9691^2 .

It is a cyclic number.

It is not a de Polignac number, because 233297117 - 210 = 233296093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233297107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116648558 + 116648559.

It is an arithmetic number, because the mean of its divisors is an integer number (116648559).

Almost surely, 2233297117 is an apocalyptic number.

It is an amenable number.

233297117 is a deficient number, since it is larger than the sum of its proper divisors (1).

233297117 is an equidigital number, since it uses as much as digits as its factorization.

233297117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15876, while the sum is 35.

The square root of 233297117 is about 15274.0668127385. The cubic root of 233297117 is about 615.6063968439.

The spelling of 233297117 in words is "two hundred thirty-three million, two hundred ninety-seven thousand, one hundred seventeen".