Search a number
-
+
2211121220 = 2257111435793
BaseRepresentation
bin1000001111001011…
…0000100001000100
312201002121121002112
42003302300201010
514012021334340
61003224000152
7105536135360
oct20362604104
95632547075
102211121220
11a35136110
12518600058
13293126669
1416d9342a0
15ce1b7065
hex83cb0844

2211121220 has 48 divisors (see below), whose sum is σ = 5789121408. Its totient is φ = 689180160.

The previous prime is 2211121217. The next prime is 2211121223. The reversal of 2211121220 is 221211122.

It is an interprime number because it is at equal distance from previous prime (2211121217) and next prime (2211121223).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2211121195 and 2211121204.

It is not an unprimeable number, because it can be changed into a prime (2211121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716357 + ... + 719436.

It is an arithmetic number, because the mean of its divisors is an integer number (120606696).

Almost surely, 22211121220 is an apocalyptic number.

2211121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211121220 is an abundant number, since it is smaller than the sum of its proper divisors (3578000188).

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

2211121220 is a wasteful number, since it uses less digits than its factorization.

2211121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435820 (or 1435818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2211121220 is about 47022.5607554501. The cubic root of 2211121220 is about 1302.7793043106.

Adding to 2211121220 its reverse (221211122), we get a palindrome (2432332342).

The spelling of 2211121220 in words is "two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1435793 2871586 5743172 7178965 10050551 14357930 15793723 20101102 28715860 31587446 40202204 50252755 63174892 78968615 100505510 110556061 157937230 201011020 221112122 315874460 442224244 552780305 1105560610 2211121220