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230289129 = 3376311931
BaseRepresentation
bin11011011100111…
…10111011101001
3121001022220022000
431232132323221
5432423223004
634503521213
75464265610
oct1556367351
9531286260
10230289129
11108aa06a4
1265159209
1338930a75
1422828877
151533dc39
hexdb9eee9

230289129 has 32 divisors (see below), whose sum is σ = 390727680. Its totient is φ = 131317200.

The previous prime is 230289113. The next prime is 230289161. The reversal of 230289129 is 921982032.

It is not a de Polignac number, because 230289129 - 24 = 230289113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230289093 and 230289102.

It is not an unprimeable number, because it can be changed into a prime (230289529) 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 31 ways as a sum of consecutive naturals, for example, 118294 + ... + 120224.

It is an arithmetic number, because the mean of its divisors is an integer number (12210240).

Almost surely, 2230289129 is an apocalyptic number.

It is an amenable number.

230289129 is a deficient number, since it is larger than the sum of its proper divisors (160438551).

230289129 is a wasteful number, since it uses less digits than its factorization.

230289129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 230289129 is about 15175.2801951068. The cubic root of 230289129 is about 612.9491950759.

The spelling of 230289129 in words is "two hundred thirty million, two hundred eighty-nine thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 27 63 189 631 1893 1931 4417 5679 5793 13251 13517 17037 17379 39753 40551 52137 119259 121653 364959 1218461 3655383 8529227 10966149 25587681 32898447 76763043 230289129