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230023201033200 = 243521123170691007
BaseRepresentation
bin110100010011010001110011…
…001100000000101111110000
31010011110000002101011102100110
4310103101303030000233300
5220122200003431030300
62133115111051221320
766310425232363161
oct6423216314005760
91104400071142313
10230023201033200
1167324323322003
1221970054747840
139b47130316933
1440b327a46d768
151b8d670b38550
hexd13473300bf0

230023201033200 has 120 divisors (see below), whose sum is σ = 737497127861248. Its totient is φ = 61284898794240.

The previous prime is 230023201033151. The next prime is 230023201033201. The reversal of 230023201033200 is 2330102320032.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230023201033201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83997904 + ... + 86693103.

Almost surely, 2230023201033200 is an apocalyptic number.

230023201033200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230023201033200 is an abundant number, since it is smaller than the sum of its proper divisors (507473926828048).

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

230023201033200 is a wasteful number, since it uses less digits than its factorization.

230023201033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170692151 (or 170692140 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230023201033200 its reverse (2330102320032), we get a palindrome (232353303353232).

The spelling of 230023201033200 in words is "two hundred thirty trillion, twenty-three billion, two hundred one million, thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1123 1200 2246 3369 4492 5615 6738 8984 11230 13476 16845 17968 22460 26952 28075 33690 44920 53904 56150 67380 84225 89840 112300 134760 168450 224600 269520 336900 449200 673800 1347600 170691007 341382014 512073021 682764028 853455035 1024146042 1365528056 1706910070 2048292084 2560365105 2731056112 3413820140 4096584168 4267275175 5120730210 6827640280 8193168336 8534550350 10241460420 12801825525 13655280560 17069100700 20482920840 25603651050 34138201400 40965841680 51207302100 68276402800 102414604200 191686000861 204829208400 383372001722 575058002583 766744003444 958430004305 1150116005166 1533488006888 1916860008610 2300232010332 2875290012915 3066976013776 3833720017220 4600464020664 4792150021525 5750580025830 7667440034440 9200928041328 9584300043050 11501160051660 14376450064575 15334880068880 19168600086100 23002320103320 28752900129150 38337200172200 46004640206640 57505800258300 76674400344400 115011600516600 230023201033200