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230666667 = 37211294919
BaseRepresentation
bin11011011111110…
…11000110101011
3121002001002011220
431233323012223
5433022313132
634515553123
75500430400
oct1557730653
9532032156
10230666667
11109229310
12652bb7a3
1338a3386a
14228c62a7
15153b5a2c
hexdbfb1ab

230666667 has 48 divisors (see below), whose sum is σ = 403833600. Its totient is φ = 115671360.

The previous prime is 230666651. The next prime is 230666687. The reversal of 230666667 is 766666032.

It is not a de Polignac number, because 230666667 - 24 = 230666651 is a prime.

It is a super-2 number, since 2×2306666672 = 106414222529777778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230666687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44434 + ... + 49352.

It is an arithmetic number, because the mean of its divisors is an integer number (8413200).

Almost surely, 2230666667 is an apocalyptic number.

230666667 is a deficient number, since it is larger than the sum of its proper divisors (173166933).

230666667 is a wasteful number, since it uses less digits than its factorization.

230666667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 230666667 is about 15187.7143441665. The cubic root of 230666667 is about 613.2839702776.

The spelling of 230666667 in words is "two hundred thirty million, six hundred sixty-six thousand, six hundred sixty-seven".

Divisors: 1 3 7 11 21 29 33 49 77 87 147 203 231 319 539 609 957 1421 1617 2233 4263 4919 6699 14757 15631 34433 46893 54109 103299 142651 162327 241031 378763 427953 723093 998557 1136289 1569161 2651341 2995671 4707483 6989899 7954023 10984127 20969697 32952381 76888889 230666667