Search a number
-
+
2220372033705 = 3257371811052531
BaseRepresentation
bin100000010011111000011…
…111001000000010101001
321212021011112201002000100
4200103320133020002221
5242334310220034310
64420005210300013
7316262613612240
oct40237037100251
97767145632010
102220372033705
11786722145481
122ba3a6127609
131314c335a357
147967641b957
153cb54ba9ec0
hex204f87c80a9

2220372033705 has 96 divisors (see below), whose sum is σ = 4542290258688. Its totient is φ = 982136793600.

The previous prime is 2220372033683. The next prime is 2220372033709. The reversal of 2220372033705 is 5073302730222.

It is not a de Polignac number, because 2220372033705 - 25 = 2220372033673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2220372033705.

It is not an unprimeable number, because it can be changed into a prime (2220372033709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1583290 + ... + 2635820.

It is an arithmetic number, because the mean of its divisors is an integer number (47315523528).

Almost surely, 22220372033705 is an apocalyptic number.

It is an amenable number.

2220372033705 is an abundant number, since it is smaller than the sum of its proper divisors (2321918224983).

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

2220372033705 is a wasteful number, since it uses less digits than its factorization.

2220372033705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052767 (or 1052764 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

Adding to 2220372033705 its reverse (5073302730222), we get a palindrome (7293674763927).

The spelling of 2220372033705 in words is "two trillion, two hundred twenty billion, three hundred seventy-two million, thirty-three thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 181 185 259 315 333 543 555 777 905 1267 1295 1629 1665 2331 2715 3801 3885 6335 6697 8145 11403 11655 19005 20091 33485 46879 57015 60273 100455 140637 234395 301365 421911 703185 1052531 2109555 3157593 5262655 7367717 9472779 15787965 22103151 36838585 38943647 47363895 66309453 110515755 116830941 190508111 194718235 272605529 331547265 350492823 571524333 584154705 817816587 952540555 1333556777 1363027645 1714572999 1752464115 2453449761 2857621665 4000670331 4089082935 6667783885 7048800107 8572864995 12002010993 12267248805 20003351655 21146400321 35244000535 49341600749 60010054965 63439200963 105732001605 148024802247 246708003745 317196004815 444074406741 740124011235 2220372033705