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231035364 = 223271973661
BaseRepresentation
bin11011100010101…
…01000111100100
3121002201210221100
431301111013210
5433121112424
634531520100
75503524330
oct1561250744
9532653840
10231035364
1110946031a
1265459030
1338b32621
14229807c0
1515439dc9
hexdc551e4

231035364 has 144 divisors (see below), whose sum is σ = 713265280. Its totient is φ = 61585920.

The previous prime is 231035353. The next prime is 231035407. The reversal of 231035364 is 463530132.

It is a happy number.

231035364 is a `hidden beast` number, since 23 + 103 + 536 + 4 = 666.

231035364 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2310353642 = 106754678837224992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349194 + ... + 349854.

Almost surely, 2231035364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231035364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356632640).

231035364 is an abundant number, since it is smaller than the sum of its proper divisors (482229916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231035364 is a wasteful number, since it uses less digits than its factorization.

231035364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 231035364 is about 15199.8474992350. The cubic root of 231035364 is about 613.6105535033.

Adding to 231035364 its reverse (463530132), we get a palindrome (694565496).

The spelling of 231035364 in words is "two hundred thirty-one million, thirty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 73 76 84 114 126 133 146 171 219 228 252 266 292 342 399 438 511 532 657 661 684 798 876 1022 1197 1314 1322 1387 1533 1596 1983 2044 2394 2628 2644 2774 3066 3966 4161 4599 4627 4788 5548 5949 6132 7932 8322 9198 9254 9709 11898 12483 12559 13881 16644 18396 18508 19418 23796 24966 25118 27762 29127 37677 38836 41643 48253 49932 50236 55524 58254 75354 83286 87381 87913 96506 113031 116508 144759 150708 166572 174762 175826 193012 226062 263739 289518 337771 349524 351652 434277 452124 527478 579036 675542 791217 868554 916807 1013313 1054956 1351084 1582434 1737108 1833614 2026626 2750421 3039939 3164868 3667228 4053252 5500842 6079878 6417649 8251263 11001684 12159756 12835298 16502526 19252947 25670596 33005052 38505894 57758841 77011788 115517682 231035364