Search a number
-
+
230715723160 = 235134161717539
BaseRepresentation
bin1101011011011110111…
…0101000110110011000
3211001111222100002110201
43112313232220312120
512240001211120120
6253553410351544
722445231201206
oct3266756506630
9731458302421
10230715723160
118993401367a
123886a28b5b4
13189aaa6a1b0
14b2495d8076
156004d2940a
hex35b7ba8d98

230715723160 has 128 divisors (see below), whose sum is σ = 573637982400. Its totient is φ = 82970173440.

The previous prime is 230715723157. The next prime is 230715723169. The reversal of 230715723160 is 61327517032.

It is a super-3 number, since 3×2307157231603 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230715723169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13145671 + ... + 13163209.

Almost surely, 2230715723160 is an apocalyptic number.

230715723160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230715723160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286818991200).

230715723160 is an abundant number, since it is smaller than the sum of its proper divisors (342922259240).

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

230715723160 is a wasteful number, since it uses less digits than its factorization.

230715723160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18221 (or 18217 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 230715723160 in words is "two hundred thirty billion, seven hundred fifteen million, seven hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 617 820 1066 1234 1640 2132 2468 2665 3085 4264 4936 5330 6170 8021 10660 12340 16042 17539 21320 24680 25297 32084 35078 40105 50594 64168 70156 80210 87695 101188 126485 140312 160420 175390 202376 228007 252970 320840 328861 350780 456014 505940 657722 701560 719099 912028 1011880 1140035 1315444 1438198 1644305 1824056 2280070 2630888 2876396 3288610 3595495 4560140 5752792 6577220 7190990 9120280 9348287 10821563 13154440 14381980 18696574 21643126 28763960 37393148 43286252 46741435 54107815 74786296 86572504 93482870 108215630 140680319 186965740 216431260 281360638 373931480 432862520 443684083 562721276 703401595 887368166 1125442552 1406803190 1774736332 2218420415 2813606380 3549472664 4436840830 5627212760 5767893079 8873681660 11535786158 17747363320 23071572316 28839465395 46143144632 57678930790 115357861580 230715723160