Search a number
-
+
2220123202220 = 2257211205948349
BaseRepresentation
bin100000010011101001101…
…001111010001010101100
321212020112012111010101102
4200103221221322022230
5242333303014432340
64415524401102232
7316253502565100
oct40235151721254
97766465433342
102220123202220
1178660473a720
122ba336927978
131314839367a1
1479651367900
153cb3ce07215
hex204e9a7a2ac

2220123202220 has 72 divisors (see below), whose sum is σ = 5916484198800. Its totient is φ = 691986449280.

The previous prime is 2220123202183. The next prime is 2220123202237. The reversal of 2220123202220 is 222023210222.

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 = 2220123202192 and 2220123202201.

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 23 ways as a sum of consecutive naturals, for example, 102963395 + ... + 102984954.

It is an arithmetic number, because the mean of its divisors is an integer number (82173391650).

Almost surely, 22220123202220 is an apocalyptic number.

2220123202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220123202220 is an abundant number, since it is smaller than the sum of its proper divisors (3696360996580).

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

2220123202220 is a wasteful number, since it uses less digits than its factorization.

2220123202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205948383 (or 205948374 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2220123202220 its reverse (222023210222), we get a palindrome (2442146412442).

The spelling of 2220123202220 in words is "two trillion, two hundred twenty billion, one hundred twenty-three million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 205948349 411896698 823793396 1029741745 1441638443 2059483490 2265431839 2883276886 4118966980 4530863678 5766553772 7208192215 9061727356 10091469101 11327159195 14416384430 15858022873 20182938202 22654318390 28832768860 31716045746 40365876404 45308636780 50457345505 63432091492 79290114365 100914691010 111006160111 158580228730 201829382020 222012320222 317160457460 444024640444 555030800555 1110061601110 2220123202220