Search a number
-
+
223240101042322 = 271310134934797979
BaseRepresentation
bin110010110000100100100010…
…111011000001100010010010
31002021102112201110211112200101
4302300210202323001202102
5213230031211331323242
62110443030413443014
765010364545644410
oct6260444273014222
91067375643745611
10223240101042322
11651496601a9951
12210555161a046a
1397745b3391290
143d1ac42a0a2b0
151ac1ec23d39b7
hexcb0922ec1892

223240101042322 has 64 divisors (see below), whose sum is σ = 417408729696000. Its totient is φ = 87189813676800.

The previous prime is 223240101042251. The next prime is 223240101042383.

223240101042322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2232401010423223 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10983672 + ... + 23814307.

It is an arithmetic number, because the mean of its divisors is an integer number (6522011401500).

Almost surely, 2223240101042322 is an apocalyptic number.

223240101042322 is a deficient number, since it is larger than the sum of its proper divisors (194168628653678).

223240101042322 is a wasteful number, since it uses less digits than its factorization.

223240101042322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34798451.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 22324010 and 1042322, that added together give a palindrome (23366332).

The spelling of 223240101042322 in words is "two hundred twenty-three trillion, two hundred forty billion, one hundred one million, forty-two thousand, three hundred twenty-two".

Divisors: 1 2 7 13 14 26 91 101 182 202 349 698 707 1313 1414 2443 2626 4537 4886 9074 9191 18382 31759 35249 63518 70498 246743 458237 493486 916474 3207659 6415318 34797979 69595958 243585853 452373727 487171706 904747454 3166616089 3514595879 6333232178 7029191758 12144494671 24288989342 24602171153 45689746427 49204342306 85011462697 91379492854 157878430723 170022925394 315756861446 319828224989 639656449978 1105149015061 1226593961771 2210298030122 2453187923542 8586157732397 15945721503023 17172315464794 31891443006046 111620050521161 223240101042322