Search a number
-
+
22432230511120 = 245280402881389
BaseRepresentation
bin1010001100110111010010…
…01000011001001000010000
32221102111111201021100000201
411012123221020121020100
510420012202002323440
6115413120251024544
74503450404163463
oct506335110311020
987374451240021
1022432230511120
117169501353271
12262362473b154
13c694726a36a1
14577a236592da
1528d7a90cd19a
hex1466e9219210

22432230511120 has 20 divisors (see below), whose sum is σ = 52154935938540. Its totient is φ = 8972892204416.

The previous prime is 22432230511069. The next prime is 22432230511121. The reversal of 22432230511120 is 2111503223422.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15437009568016 + 6995220943104 = 3928996^2 + 2644848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22432230511121) 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 3 ways as a sum of consecutive naturals, for example, 140201440615 + ... + 140201440774.

It is an arithmetic number, because the mean of its divisors is an integer number (2607746796927).

Almost surely, 222432230511120 is an apocalyptic number.

22432230511120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22432230511120 is an abundant number, since it is smaller than the sum of its proper divisors (29722705427420).

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

22432230511120 is a wasteful number, since it uses less digits than its factorization.

22432230511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280402881402 (or 280402881396 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 22432230511120 its reverse (2111503223422), we get a palindrome (24543733734542).

The spelling of 22432230511120 in words is "twenty-two trillion, four hundred thirty-two billion, two hundred thirty million, five hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 280402881389 560805762778 1121611525556 1402014406945 2243223051112 2804028813890 4486446102224 5608057627780 11216115255560 22432230511120