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230689568657262 = 2311134334391141413
BaseRepresentation
bin110100011100111110011001…
…110010110000111101101110
31010020210201002200102002200010
4310130332121302300331232
5220214104214034013022
62134345154054114050
766406525364623431
oct6434763162607556
91106721080362603
10230689568657262
1167560995495890
1221a5922594b926
139b94c189b40c0
1440d7612b4d818
151ba0b7225c50c
hexd1cf99cb0f6e

230689568657262 has 128 divisors (see below), whose sum is σ = 543419220943872. Its totient is φ = 64364407142400.

The previous prime is 230689568657257. The next prime is 230689568657267. The reversal of 230689568657262 is 262756865986032.

It is an interprime number because it is at equal distance from previous prime (230689568657257) and next prime (230689568657267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230689568657267) 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, 1631247268 + ... + 1631388680.

It is an arithmetic number, because the mean of its divisors is an integer number (4245462663624).

Almost surely, 2230689568657262 is an apocalyptic number.

230689568657262 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230689568657262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271709610471936).

230689568657262 is an abundant number, since it is smaller than the sum of its proper divisors (312729652286610).

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

230689568657262 is a wasteful number, since it uses less digits than its factorization.

230689568657262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146266.

The product of its (nonzero) digits is 3135283200, while the sum is 75.

The spelling of 230689568657262 in words is "two hundred thirty trillion, six hundred eighty-nine billion, five hundred sixty-eight million, six hundred fifty-seven thousand, two hundred sixty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 433 858 866 1299 2598 4391 4763 5629 8782 9526 11258 13173 14289 16887 26346 28578 33774 48301 57083 61919 96602 114166 123838 141413 144903 171249 185757 282826 289806 342498 371514 424239 627913 848478 1255826 1555543 1838369 1883739 1901303 3111086 3676738 3767478 3802606 4666629 5515107 5703909 9333258 11030214 11407818 20222059 20914333 24716939 40444118 41828666 49433878 60666177 61231829 62742999 74150817 121332354 122463658 125485998 148301634 183695487 271886329 367390974 543772658 620944483 673550119 796013777 815658987 1241888966 1347100238 1592027554 1631317974 1862833449 2020650357 2388041331 3725666898 4041300714 4776082662 6830389313 8072278279 8756151547 13660778626 16144556558 17512303094 20491167939 24216834837 26268454641 40982335878 48433669674 52536909282 88795061069 177590122138 266385183207 268868961139 532770366414 537737922278 806606883417 1613213766834 2957558572529 3495296494807 5915117145058 6990592989614 8872675717587 10485889484421 17745351435174 20971778968842 38448261442877 76896522885754 115344784328631 230689568657262