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238165313 = 292283193
BaseRepresentation
bin11100011001000…
…01110101000001
3121121011001101112
432030201311001
5441432242223
635344413105
75621241341
oct1614416501
9547131345
10238165313
11112490141
1267917195
133a45aa29
14238b8d21
1515d97778
hexe321d41

238165313 has 6 divisors (see below), whose sum is σ = 246661974. Its totient is φ = 229951904.

The previous prime is 238165303. The next prime is 238165363. The reversal of 238165313 is 313561832.

238165313 = 109122 + 109132.

It can be written as a sum of positive squares in 3 ways, for example, as 119071744 + 119093569 = 10912^2 + 10913^2 .

It is not a de Polignac number, because 238165313 - 24 = 238165297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 238165313.

It is not an unprimeable number, because it can be changed into a prime (238165303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140756 + ... + 142437.

It is an arithmetic number, because the mean of its divisors is an integer number (41110329).

Almost surely, 2238165313 is an apocalyptic number.

238165313 is the 10913-rd centered square number.

It is an amenable number.

238165313 is a deficient number, since it is larger than the sum of its proper divisors (8496661).

238165313 is an equidigital number, since it uses as much as digits as its factorization.

238165313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283251 (or 283222 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 238165313 is about 15432.6055155959. The cubic root of 238165313 is about 619.8588934862.

The spelling of 238165313 in words is "two hundred thirty-eight million, one hundred sixty-five thousand, three hundred thirteen".

Divisors: 1 29 841 283193 8212597 238165313