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230466357 = 33116112721
BaseRepresentation
bin11011011110010…
…10001100110101
3121001122220102000
431233022030311
5432444410412
634511405513
75465634402
oct1557121465
9531586360
10230466357
11109101870
1265223899
1338993634
14228732a9
15153764dc
hexdbca335

230466357 has 32 divisors (see below), whose sum is σ = 378606720. Its totient is φ = 137376000.

The previous prime is 230466343. The next prime is 230466389. The reversal of 230466357 is 753664032.

It is not a de Polignac number, because 230466357 - 211 = 230464309 is a prime.

It is a super-2 number, since 2×2304663572 = 106229483417702898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230462357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11757 + ... + 24477.

It is an arithmetic number, because the mean of its divisors is an integer number (11831460).

Almost surely, 2230466357 is an apocalyptic number.

230466357 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

230466357 is a deficient number, since it is larger than the sum of its proper divisors (148140363).

230466357 is a wasteful number, since it uses less digits than its factorization.

230466357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12802 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 230466357 is about 15181.1184370586. The cubic root of 230466357 is about 613.1063944265.

It can be divided in two parts, 23046 and 6357, that added together give a triangular number (29403 = T242).

The spelling of 230466357 in words is "two hundred thirty million, four hundred sixty-six thousand, three hundred fifty-seven".

Divisors: 1 3 9 11 27 33 61 99 183 297 549 671 1647 2013 6039 12721 18117 38163 114489 139931 343467 419793 775981 1259379 2327943 3778137 6983829 8535791 20951487 25607373 76822119 230466357