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230264475 = 352738951
BaseRepresentation
bin11011011100110…
…00111010011011
3121001021122110220
431232120322123
5432421430400
634503211123
75464134000
oct1556307233
9531248426
10230264475
11108a84121
1265146aa3
133892278c
142281d8a7
15153367a0
hexdb98e9b

230264475 has 48 divisors (see below), whose sum is σ = 444019200. Its totient is φ = 105252000.

The previous prime is 230264467. The next prime is 230264479. The reversal of 230264475 is 574462032.

It is not a de Polignac number, because 230264475 - 23 = 230264467 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230264479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21250 + ... + 30200.

It is an arithmetic number, because the mean of its divisors is an integer number (9250400).

Almost surely, 2230264475 is an apocalyptic number.

230264475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230264475 is a deficient number, since it is larger than the sum of its proper divisors (213754725).

230264475 is an equidigital number, since it uses as much as digits as its factorization.

230264475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8985 (or 8966 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 230264475 is about 15174.4678654640. The cubic root of 230264475 is about 612.9273208508.

The spelling of 230264475 in words is "two hundred thirty million, two hundred sixty-four thousand, four hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 343 525 735 1029 1225 1715 3675 5145 8575 8951 25725 26853 44755 62657 134265 187971 223775 313285 438599 671325 939855 1315797 1566425 2192995 3070193 4699275 6578985 9210579 10964975 15350965 32894925 46052895 76754825 230264475