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223135164 = 2232719291607
BaseRepresentation
bin11010100110011…
…00010110111100
3120112212102220100
431103030112330
5424110311124
634050321100
75346421560
oct1523142674
9515772810
10223135164
11104a5482a
1262889190
13372c7755
14218c56a0
15148c91c9
hexd4cc5bc

223135164 has 144 divisors (see below), whose sum is σ = 702374400. Its totient is φ = 58278528.

The previous prime is 223135153. The next prime is 223135181. The reversal of 223135164 is 461531322.

It is a super-3 number, since 3×2231351643 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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, 138049 + ... + 139655.

It is an arithmetic number, because the mean of its divisors is an integer number (4877600).

Almost surely, 2223135164 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 223135164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351187200).

223135164 is an abundant number, since it is smaller than the sum of its proper divisors (479239236).

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

223135164 is a wasteful number, since it uses less digits than its factorization.

223135164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1667 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 223135164 is about 14937.7094629665. The cubic root of 223135164 is about 606.5351936383.

Adding to 223135164 its reverse (461531322), we get a palindrome (684666486).

The spelling of 223135164 in words is "two hundred twenty-three million, one hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 29 36 38 42 57 58 63 76 84 87 114 116 126 133 171 174 203 228 252 261 266 342 348 399 406 522 532 551 609 684 798 812 1044 1102 1197 1218 1596 1607 1653 1827 2204 2394 2436 3214 3306 3654 3857 4788 4821 4959 6428 6612 7308 7714 9642 9918 11249 11571 14463 15428 19284 19836 22498 23142 28926 30533 33747 34713 44996 46284 46603 57852 61066 67494 69426 91599 93206 101241 122132 134988 138852 139809 183198 186412 202482 213731 274797 279618 326221 366396 404964 419427 427462 549594 559236 641193 652442 838854 854924 885457 978663 1099188 1282386 1304884 1677708 1770914 1923579 1957326 2564772 2656371 2935989 3541828 3847158 3914652 5312742 5871978 6198199 7694316 7969113 10625484 11743956 12396398 15938226 18594597 24792796 31876452 37189194 55783791 74378388 111567582 223135164