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233085137 is a prime number
BaseRepresentation
bin11011110010010…
…01100011010001
3121020120221200212
431321021203101
5434132211022
635043453505
75530122335
oct1571114321
9536527625
10233085137
1110a63034a
1266087295
133939c5cc
1422d557c5
15156e23e2
hexde498d1

233085137 has 2 divisors, whose sum is σ = 233085138. Its totient is φ = 233085136.

The previous prime is 233085133. The next prime is 233085169. The reversal of 233085137 is 731580332.

233085137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (233085169) can be obtained adding 233085137 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230553856 + 2531281 = 15184^2 + 1591^2 .

It is a cyclic number.

It is not a de Polignac number, because 233085137 - 22 = 233085133 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (233085133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116542568 + 116542569.

It is an arithmetic number, because the mean of its divisors is an integer number (116542569).

Almost surely, 2233085137 is an apocalyptic number.

It is an amenable number.

233085137 is a deficient number, since it is larger than the sum of its proper divisors (1).

233085137 is an equidigital number, since it uses as much as digits as its factorization.

233085137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 233085137 is about 15267.1260229291. The cubic root of 233085137 is about 615.4198881981.

The spelling of 233085137 in words is "two hundred thirty-three million, eighty-five thousand, one hundred thirty-seven".