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233268289 is a prime number
BaseRepresentation
bin11011110011101…
…10010001000001
3121020221020221021
431321312101001
5434204041124
635051425441
75531514322
oct1571662101
9536836837
10233268289
1110a745a11
1266155281
1339434a97
1422da2449
151572b7e4
hexde76441

233268289 has 2 divisors, whose sum is σ = 233268290. Its totient is φ = 233268288.

The previous prime is 233268281. The next prime is 233268319. The reversal of 233268289 is 982862332.

233268289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 232867600 + 400689 = 15260^2 + 633^2 .

It is a cyclic number.

It is not a de Polignac number, because 233268289 - 23 = 233268281 is a prime.

It is not a weakly prime, because it can be changed into another prime (233268281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116634144 + 116634145.

It is an arithmetic number, because the mean of its divisors is an integer number (116634145).

Almost surely, 2233268289 is an apocalyptic number.

It is an amenable number.

233268289 is a deficient number, since it is larger than the sum of its proper divisors (1).

233268289 is an equidigital number, since it uses as much as digits as its factorization.

233268289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 248832, while the sum is 43.

The square root of 233268289 is about 15273.1230925440. The cubic root of 233268289 is about 615.5810394335.

The spelling of 233268289 in words is "two hundred thirty-three million, two hundred sixty-eight thousand, two hundred eighty-nine".