Search a number
-
+
220140221020220 = 225412713919252779
BaseRepresentation
bin110010000011011101100011…
…101011001011100000111100
31001212110012101111200102201102
4302003131203223023200330
5212323234133040121340
62100111004342432232
764240414616341514
oct6203354353134074
91055405344612642
10220140221020220
1164163a417a4266
1220834796732678
1395ab197b6b7a7
143c50bb49a4844
151a6b544254215
hexc83763acb83c

220140221020220 has 96 divisors (see below), whose sum is σ = 475440595660800. Its totient is φ = 85569195225600.

The previous prime is 220140221020207. The next prime is 220140221020273. The reversal of 220140221020220 is 22020122041022.

220140221020220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220140221020192 and 220140221020201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870753791 + ... + 871006569.

It is an arithmetic number, because the mean of its divisors is an integer number (4952506204800).

Almost surely, 2220140221020220 is an apocalyptic number.

220140221020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220140221020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237720297830400).

220140221020220 is an abundant number, since it is smaller than the sum of its proper divisors (255300374640580).

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

220140221020220 is a wasteful number, since it uses less digits than its factorization.

220140221020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257019 (or 257017 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 220140221020220 its reverse (22020122041022), we get a palindrome (242160343061242).

The spelling of 220140221020220 in words is "two hundred twenty trillion, one hundred forty billion, two hundred twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 3919 5420 7838 11111 15676 19595 22222 39190 44444 55555 78380 111110 160679 222220 252779 321358 505558 642716 803395 1011116 1062049 1263895 1606790 2124098 2527790 3213580 4248196 5055580 5310245 10363939 10620490 20727878 21240980 41455756 43544009 51819695 68503109 87088018 103639390 137006218 174176036 207278780 217720045 274012436 342515545 435440090 685031090 870880180 990640901 1370062180 1981281802 2808627469 3962563604 4953204505 5617254938 9906409010 11234509876 14043137345 19812818020 28086274690 40616276941 56172549380 81232553882 162465107764 203081384705 268463684171 406162769410 536927368342 812325538820 1073854736684 1342318420855 2684636841710 5369273683420 11007011051011 22014022102022 44028044204044 55035055255055 110070110510110 220140221020220