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230761417 = 1753256117
BaseRepresentation
bin11011100000100…
…10001111001001
3121002012220011011
431300102033021
5433033331132
634522003521
75501303545
oct1560221711
9532186134
10230761417
11109293517
12653465a1
1338a67a23
142290ca25
15153d3b47
hexdc123c9

230761417 has 8 divisors (see below), whose sum is σ = 248946696. Its totient is φ = 213088512.

The previous prime is 230761409. The next prime is 230761423. The reversal of 230761417 is 714167032.

It can be written as a sum of positive squares in 4 ways, for example, as 169546441 + 61214976 = 13021^2 + 7824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 230761417 - 23 = 230761409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230761457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127158 + ... + 128959.

It is an arithmetic number, because the mean of its divisors is an integer number (31118337).

Almost surely, 2230761417 is an apocalyptic number.

It is an amenable number.

230761417 is a deficient number, since it is larger than the sum of its proper divisors (18185279).

230761417 is a wasteful number, since it uses less digits than its factorization.

230761417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256187.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 230761417 is about 15190.8333214475. The cubic root of 230761417 is about 613.3679308290.

The spelling of 230761417 in words is "two hundred thirty million, seven hundred sixty-one thousand, four hundred seventeen".

Divisors: 1 17 53 901 256117 4353989 13574201 230761417