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230281821 = 327211371283
BaseRepresentation
bin11011011100111…
…01001001011101
3121001022112021100
431232131021131
5432423004241
634503423313
75464235400
oct1556351135
9531275240
10230281821
11108a96160
1265154b39
133892a643
1422825d37
151533b9b6
hexdb9d25d

230281821 has 72 divisors (see below), whose sum is σ = 433858464. Its totient is φ = 116303040.

The previous prime is 230281801. The next prime is 230281867. The reversal of 230281821 is 128182032.

It is not a de Polignac number, because 230281821 - 27 = 230281693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230281801) 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 71 ways as a sum of consecutive naturals, for example, 178846 + ... + 180128.

It is an arithmetic number, because the mean of its divisors is an integer number (6025812).

Almost surely, 2230281821 is an apocalyptic number.

230281821 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230281821 is a deficient number, since it is larger than the sum of its proper divisors (203576643).

230281821 is a wasteful number, since it uses less digits than its factorization.

230281821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 230281821 is about 15175.0394068681. The cubic root of 230281821 is about 612.9427112265.

The spelling of 230281821 in words is "two hundred thirty million, two hundred eighty-one thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 37 49 63 77 99 111 147 231 259 333 407 441 539 693 777 1221 1283 1617 1813 2331 2849 3663 3849 4851 5439 8547 8981 11547 14113 16317 19943 25641 26943 42339 47471 59829 62867 80829 98791 127017 142413 179487 188601 296373 332297 427239 522181 565803 691537 889119 996891 1566543 2074611 2326079 2990673 3655267 4699629 6223833 6978237 10965801 20934711 25586869 32897403 76760607 230281821