Search a number
-
+
2221111120 = 24527763889
BaseRepresentation
bin1000010001100011…
…0111011101010000
312201210102010122211
42010120313131100
514022101023440
61004222041504
7106020063424
oct20430673520
95653363584
102221111120
11a3a839728
1251ba19294
13295213747
14170db4b84
15ceedbeea
hex84637750

2221111120 has 20 divisors (see below), whose sum is σ = 5164083540. Its totient is φ = 888444416.

The previous prime is 2221111103. The next prime is 2221111129. The reversal of 2221111120 is 211111222.

It can be written as a sum of positive squares in 2 ways, for example, as 689797696 + 1531313424 = 26264^2 + 39132^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 2221111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221111129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13881865 + ... + 13882024.

It is an arithmetic number, because the mean of its divisors is an integer number (258204177).

Almost surely, 22221111120 is an apocalyptic number.

2221111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221111120 is an abundant number, since it is smaller than the sum of its proper divisors (2942972420).

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

2221111120 is a wasteful number, since it uses less digits than its factorization.

2221111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27763902 (or 27763896 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2221111120 is about 47128.6655868803. The cubic root of 2221111120 is about 1304.7383532246.

Adding to 2221111120 its reverse (211111222), we get a palindrome (2432222342).

It can be divided in two parts, 2 and 221111120, that added together give a palindrome (221111122).

The spelling of 2221111120 in words is "two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27763889 55527778 111055556 138819445 222111112 277638890 444222224 555277780 1110555560 2221111120