Search a number
-
+
220213202312022 = 23194196379722723
BaseRepresentation
bin110010000100100001100001…
…101100101101101101010110
31001212201011202200212012002220
4302010201201230231231112
5212330433114242441042
62100204314253043210
764245610304155143
oct6204414154555526
91055634680765086
10220213202312022
1164191992838a57
1220846963a86506
1395b5028b4a21a
143c545395133ca
151a6d3b64608ec
hexc84861b2db56

220213202312022 has 64 divisors (see below), whose sum is σ = 464786695296000. Its totient is φ = 69364070743968.

The previous prime is 220213202312011. The next prime is 220213202312023.

220213202312022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220213202311983 and 220213202312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220213202312023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304337953 + ... + 305060675.

It is an arithmetic number, because the mean of its divisors is an integer number (7262292114000).

Almost surely, 2220213202312022 is an apocalyptic number.

220213202312022 is an abundant number, since it is smaller than the sum of its proper divisors (244573492983978).

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

220213202312022 is a wasteful number, since it uses less digits than its factorization.

220213202312022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729545.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 22021320 and 2312022, that added together give a palindrome (24333342).

The spelling of 220213202312022 in words is "two hundred twenty trillion, two hundred thirteen billion, two hundred two million, three hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 19 38 57 114 419 838 1257 2514 6379 7961 12758 15922 19137 23883 38274 47766 121201 242402 363603 722723 727206 1445446 2168169 2672801 4336338 5345602 8018403 13731737 16036806 27463474 41195211 50783219 82390422 101566438 152349657 302820937 304699314 605641874 908462811 1816925622 4610250017 5753597803 9220500034 11507195606 13830750051 17260793409 27661500102 34521586818 87594750323 175189500646 262784250969 525568501938 1931694757123 3863389514246 5795084271369 11590168542738 36702200385337 73404400770674 110106601156011 220213202312022