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232330313 = 17412571297
BaseRepresentation
bin11011101100100…
…01010001001001
3121012011121021102
431312101101021
5433434032223
635015351145
75520526565
oct1566212111
9535147242
10232330313
1110a165226
12659824b5
1339196b77
1422bda6a5
15155e3928
hexdd91449

232330313 has 16 divisors (see below), whose sum is σ = 253172304. Its totient is φ = 212336640.

The previous prime is 232330303. The next prime is 232330321. The reversal of 232330313 is 313033232.

It can be written as a sum of positive squares in 8 ways, for example, as 65739664 + 166590649 = 8108^2 + 12907^2 .

It is a cyclic number.

It is not a de Polignac number, because 232330313 - 24 = 232330297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (232330303) 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 15 ways as a sum of consecutive naturals, for example, 178481 + ... + 179777.

It is an arithmetic number, because the mean of its divisors is an integer number (15823269).

Almost surely, 2232330313 is an apocalyptic number.

It is an amenable number.

232330313 is a deficient number, since it is larger than the sum of its proper divisors (20841991).

232330313 is a wasteful number, since it uses less digits than its factorization.

232330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612.

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 232330313 is about 15242.3854104271. The cubic root of 232330313 is about 614.7548435694.

Adding to 232330313 its reverse (313033232), we get a palindrome (545363545).

The spelling of 232330313 in words is "two hundred thirty-two million, three hundred thirty thousand, three hundred thirteen".

Divisors: 1 17 41 257 697 1297 4369 10537 22049 53177 179129 333329 904009 5666593 13666489 232330313