Search a number
-
+
230536117504 = 2871127742221
BaseRepresentation
bin1101011010110100000…
…1011111110100000000
3211001001110101011211101
43112231001133310000
512234114221230004
6253523513024144
722440620444440
oct3265501376400
9731043334741
10230536117504
11898516a0250
123881a0b5054
131897c7a3964
14b22d804120
155ee419cba4
hex35ad05fd00

230536117504 has 144 divisors (see below), whose sum is σ = 575805396096. Its totient is φ = 89492889600.

The previous prime is 230536117477. The next prime is 230536117507. The reversal of 230536117504 is 405711635032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230536117507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5439114 + ... + 5481334.

It is an arithmetic number, because the mean of its divisors is an integer number (3998648584).

Almost surely, 2230536117504 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 230536117504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287902698048).

230536117504 is an abundant number, since it is smaller than the sum of its proper divisors (345269278592).

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

230536117504 is a wasteful number, since it uses less digits than its factorization.

230536117504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42532 (or 42518 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 230536117504 in words is "two hundred thirty billion, five hundred thirty-six million, one hundred seventeen thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 277 308 352 448 554 616 704 896 1108 1232 1408 1792 1939 2216 2464 2816 3047 3878 4432 4928 6094 7756 8864 9856 12188 15512 17728 19712 21329 24376 31024 35456 42221 42658 48752 62048 70912 84442 85316 97504 124096 168884 170632 195008 248192 295547 337768 341264 390016 464431 496384 591094 675536 682528 780032 928862 1182188 1351072 1365056 1857724 2364376 2702144 2730112 3251017 3715448 4728752 5404288 5460224 6502034 7430896 9457504 10808576 11695217 13004068 14861792 18915008 23390434 26008136 29723584 37830016 46780868 52016272 59447168 75660032 81866519 93561736 104032544 118894336 128647387 163733038 187123472 208065088 257294774 327466076 374246944 416130176 514589548 654932152 748493888 832260352 900531709 1029179096 1309864304 1496987776 1801063418 2058358192 2619728608 2993975552 3602126836 4116716384 5239457216 7204253672 8233432768 10478914432 14408507344 16466865536 20957828864 28817014688 32933731072 57634029376 115268058752 230536117504