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230421467349 = 324114922918301
BaseRepresentation
bin1101011010011000110…
…0001001000011010101
3211000202110122100101100
43112212030021003111
512233400343423344
6253504255420313
722435026104433
oct3264614110325
9730673570340
10230421467349
11897a2a02957
12387a7824699
1318961b00b28
14b21c4bbd53
155ed90a2569
hex35a63090d5

230421467349 has 48 divisors (see below), whose sum is σ = 344754774000. Its totient is φ = 148203648000.

The previous prime is 230421467327. The next prime is 230421467383. The reversal of 230421467349 is 943764124032.

230421467349 is a `hidden beast` number, since 2 + 30 + 4 + 214 + 67 + 349 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 68167988100 + 162253479249 = 261090^2 + 402807^2 .

It is not a de Polignac number, because 230421467349 - 28 = 230421467093 is a prime.

It is a super-3 number, since 3×2304214673493 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230421465349) 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, 12581499 + ... + 12599799.

It is an arithmetic number, because the mean of its divisors is an integer number (7182391125).

Almost surely, 2230421467349 is an apocalyptic number.

It is an amenable number.

230421467349 is a deficient number, since it is larger than the sum of its proper divisors (114333306651).

230421467349 is a wasteful number, since it uses less digits than its factorization.

230421467349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18726 (or 18723 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 230421467349 in words is "two hundred thirty billion, four hundred twenty-one million, four hundred sixty-seven thousand, three hundred forty-nine".

Divisors: 1 3 9 41 123 149 229 369 447 687 1341 2061 6109 9389 18301 18327 28167 34121 54903 54981 84501 102363 164709 307089 750341 1398961 2251023 2726849 4190929 4196883 6753069 8180547 12572787 12590649 24541641 37718361 111800809 171828089 335402427 515484267 624448421 1006207281 1546452801 1873345263 5620035789 25602385261 76807155783 230421467349