Search a number
-
+
233132330223030 = 23573143832823671
BaseRepresentation
bin110101000000100001011001…
…101110101000010110110110
31010120110020021221020221012010
4311000201121232220112312
5221024120003014114110
62143455303004105050
7100051153321424460
oct6500413156502666
91116406257227163
10233132330223030
1168312958733267
1222192735835186
13a011390aca334
14417d944a2b130
151be4490cb2020
hexd40859ba85b6

233132330223030 has 128 divisors (see below), whose sum is σ = 675426660581376. Its totient is φ = 50369175561600.

The previous prime is 233132330222993. The next prime is 233132330223113. The reversal of 233132330223030 is 30322033231332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416131906 + ... + 416691765.

It is an arithmetic number, because the mean of its divisors is an integer number (5276770785792).

Almost surely, 2233132330223030 is an apocalyptic number.

233132330223030 is an abundant number, since it is smaller than the sum of its proper divisors (442294330358346).

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

233132330223030 is a wasteful number, since it uses less digits than its factorization.

233132330223030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832823762.

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 233132330223030 its reverse (30322033231332), we get a palindrome (263454363454362).

The spelling of 233132330223030 in words is "two hundred thirty-three trillion, one hundred thirty-two billion, three hundred thirty million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 43 62 70 86 93 105 129 155 186 210 215 217 258 301 310 430 434 465 602 645 651 903 930 1085 1290 1302 1333 1505 1806 2170 2666 3010 3255 3999 4515 6510 6665 7998 9030 9331 13330 18662 19995 27993 39990 46655 55986 93310 139965 279930 832823671 1665647342 2498471013 4164118355 4996942026 5829765697 8328236710 11659531394 12492355065 17489297091 24984710130 25817533801 29148828485 34978594182 35811417853 51635067602 58297656970 71622835706 77452601403 87446485455 107434253559 129087669005 154905202806 174892970910 179057089265 180722736607 214868507118 250679924971 258175338010 358114178530 361445473214 387263007015 501359849942 537171267795 542168209821 752039774913 774526014030 903613683035 1074342535590 1084336419642 1110153953443 1253399624855 1504079549826 1807227366070 2220307906886 2506799249710 2710841049105 3330461860329 3760198874565 5421682098210 5550769767215 6660923720658 7520397749130 7771077674101 11101539534430 15542155348202 16652309301645 23313233022303 33304618603290 38855388370505 46626466044606 77710776741010 116566165111515 233132330223030