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230004120276 = 2232718111094547
BaseRepresentation
bin1101011000110101010…
…0000101101011010100
3210222200101022220211100
43112031110011223110
512232022023322101
6253355030310100
722421500523220
oct3261524055324
9728611286740
10230004120276
11895a9369917
12386abab8330
13188c64c77b8
14b1bccbd780
155eb2613e86
hex358d505ad4

230004120276 has 144 divisors (see below), whose sum is σ = 668876906880. Its totient is φ = 65279105280.

The previous prime is 230004120169. The next prime is 230004120277. The reversal of 230004120276 is 672021400032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230004120277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50581435 + ... + 50585981.

It is an arithmetic number, because the mean of its divisors is an integer number (4644978520).

Almost surely, 2230004120276 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 230004120276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334438453440).

230004120276 is an abundant number, since it is smaller than the sum of its proper divisors (438872786604).

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

230004120276 is a wasteful number, since it uses less digits than its factorization.

230004120276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 230004120276 in words is "two hundred thirty billion, four million, one hundred twenty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 181 252 362 543 724 1086 1109 1267 1629 2172 2218 2534 3258 3327 3801 4436 4547 5068 6516 6654 7602 7763 9094 9981 11403 13308 13641 15204 15526 18188 19962 22806 23289 27282 31052 31829 39924 40923 45612 46578 54564 63658 69867 81846 93156 95487 127316 139734 163692 190974 200729 279468 286461 381948 401458 572922 602187 802916 823007 1145844 1204374 1405103 1646014 1806561 2408748 2469021 2810206 3292028 3613122 4215309 4938042 5042623 5620412 5761049 7226244 7407063 8430618 9876084 10085246 11522098 12645927 14814126 15127869 16861236 17283147 20170492 23044196 25291854 29628252 30255738 34566294 35298361 45383607 50583708 51849441 60511476 69132588 70596722 90767214 103698882 105895083 141193444 181534428 207397764 211790166 317685249 423580332 635370498 912714763 1270740996 1825429526 2738144289 3650859052 5476288578 6389003341 8214432867 10952577156 12778006682 16428865734 19167010023 25556013364 32857731468 38334020046 57501030069 76668040092 115002060138 230004120276