Search a number
-
+
230133166614 = 232135917396353
BaseRepresentation
bin1101011001010100000…
…0010111001000010110
3211000000101011011010100
43112111000113020112
512232303042312424
6253415520234530
722424625432501
oct3262500271026
9730011134110
10230133166614
118966519a28a
123872716ba46
131891716b190
14b1d20b2138
155ebdb04dc9
hex3595017216

230133166614 has 96 divisors (see below), whose sum is σ = 549240924960. Its totient is φ = 69206943744.

The previous prime is 230133166609. The next prime is 230133166633. The reversal of 230133166614 is 416661331032.

It is a super-3 number, since 3×2301331666143 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 2340262 + ... + 2436614.

It is an arithmetic number, because the mean of its divisors is an integer number (5721259635).

Almost surely, 2230133166614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230133166614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274620462480).

230133166614 is an abundant number, since it is smaller than the sum of its proper divisors (319107758346).

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

230133166614 is a wasteful number, since it uses less digits than its factorization.

230133166614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96606 (or 96603 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 230133166614 its reverse (416661331032), we get a palindrome (646794497646).

The spelling of 230133166614 in words is "two hundred thirty billion, one hundred thirty-three million, one hundred sixty-six thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 173 177 234 346 354 519 531 767 1038 1062 1534 1557 2249 2301 3114 4498 4602 6747 6903 10207 13494 13806 20241 20414 30621 40482 61242 91863 96353 132691 183726 192706 265382 289059 398073 578118 796146 867177 1194219 1252589 1734354 2388438 2505178 3757767 5684827 7515534 11273301 11369654 16669069 17054481 22546602 33338138 34108962 50007207 51163443 73902751 100014414 102326886 147805502 150021621 216697897 221708253 300043242 433395794 443416506 650093691 665124759 983475071 1300187382 1330249518 1950281073 1966950142 2950425213 3900562146 5900850426 8851275639 12785175923 17702551278 25570351846 38355527769 76711055538 115066583307 230133166614