Search a number
-
+
230734535256 = 233313719140823
BaseRepresentation
bin1101011011100011011…
…0011001101001011000
3211001120021201211211000
43112320312121221120
512240021020112011
6253555321505000
722445550122031
oct3267066315130
9731507654730
10230734535256
11899436a2465
1238874642160
13189b1925a04
14b24bcd3a88
1560067e3356
hex35b8d99a58

230734535256 has 128 divisors (see below), whose sum is σ = 649003622400. Its totient is φ = 75948514560.

The previous prime is 230734535221. The next prime is 230734535261. The reversal of 230734535256 is 652535437032.

230734535256 is a `hidden beast` number, since 2 + 3 + 0 + 73 + 4 + 53 + 525 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5631661 + ... + 5672483.

It is an arithmetic number, because the mean of its divisors is an integer number (5070340800).

Almost surely, 2230734535256 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 230734535256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324501811200).

230734535256 is an abundant number, since it is smaller than the sum of its proper divisors (418269087144).

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

230734535256 is a wasteful number, since it uses less digits than its factorization.

230734535256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41166 (or 41156 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 230734535256 in words is "two hundred thirty billion, seven hundred thirty-four million, five hundred thirty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 191 216 274 382 411 548 573 764 822 1096 1146 1233 1528 1644 1719 2292 2466 3288 3438 3699 4584 4932 5157 6876 7398 9864 10314 13752 14796 20628 26167 29592 40823 41256 52334 78501 81646 104668 122469 157002 163292 209336 235503 244938 314004 326584 367407 471006 489876 628008 706509 734814 942012 979752 1102221 1413018 1469628 1884024 2204442 2826036 2939256 4408884 5592751 5652072 7797193 8817768 11185502 15594386 16778253 22371004 23391579 31188772 33556506 44742008 46783158 50334759 62377544 67113012 70174737 93566316 100669518 134226024 140349474 151004277 187132632 201339036 210524211 280698948 302008554 402678072 421048422 561397896 604017108 842096844 1068215441 1208034216 1684193688 2136430882 3204646323 4272861764 6409292646 8545723528 9613938969 12818585292 19227877938 25637170584 28841816907 38455755876 57683633814 76911511752 115367267628 230734535256