Search a number
-
+
243233143104222 = 23343679791159683
BaseRepresentation
bin110111010011100000100001…
…000101111010001011011110
31011220012212020221201011122000
4313103200201011322023132
5223340112434113313342
62221151432515103130
7102143005014333435
oct6723404105721336
91156185227634560
10243233143104222
1170557662231017
12233442675a1aa6
13a594a2cca827b
14440c792b3a11c
151d1c0bb4ad44c
hexdd382117a2de

243233143104222 has 128 divisors (see below), whose sum is σ = 561404181381120. Its totient is φ = 78001757174880.

The previous prime is 243233143104113. The next prime is 243233143104223. The reversal of 243233143104222 is 222401341332342.

243233143104222 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 3 + 314 + 310 + 4 + 2 + 22 = 666.

243233143104222 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243233143104223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1523145193 + ... + 1523304875.

It is an arithmetic number, because the mean of its divisors is an integer number (4385970167040).

Almost surely, 2243233143104222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243233143104222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280702090690560).

243233143104222 is an abundant number, since it is smaller than the sum of its proper divisors (318171038276898).

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

243233143104222 is a wasteful number, since it uses less digits than its factorization.

243233143104222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169595 (or 169589 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 243233143104222 its reverse (222401341332342), we get a palindrome (465634484436564).

The spelling of 243233143104222 in words is "two hundred forty-three trillion, two hundred thirty-three billion, one hundred forty-three million, one hundred four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 67 86 129 134 201 258 387 402 603 774 1161 1206 1809 2322 2881 3618 5762 8643 9791 17286 19582 25929 29373 51858 58746 77787 88119 155574 159683 176238 264357 319366 421013 479049 528714 655997 842026 958098 1263039 1311994 1437147 1967991 2526078 2874294 3789117 3935982 4311441 5903973 6866369 7578234 8622882 10698761 11367351 11807946 13732738 17711919 20599107 21397522 22734702 28207871 32096283 35423838 41198214 56415742 61797321 64192566 84623613 96288849 123594642 169247226 185391963 192577698 253870839 288866547 370783926 460046723 507741678 577733094 761612517 920093446 1380140169 1523225034 1563456253 2760280338 3126912506 4140420507 4690368759 8280841014 9380737518 12421261521 14071106277 24842523042 28142212554 42213318831 67228618879 84426637662 104751568951 134457237758 201685856637 209503137902 314254706853 403371713274 605057569911 628509413706 942764120559 1210115139822 1815172709733 1885528241118 2828292361677 3630345419466 4504317464893 5656584723354 9008634929786 13512952394679 27025904789358 40538857184037 81077714368074 121616571552111 243233143104222