Search a number
-
+
2240240022024 = 233234058405837
BaseRepresentation
bin100000100110011000101…
…101011111001000001000
321221011110011211110021120
4200212120231133020020
5243201002421201044
64433052502235240
7320565143666364
oct40463055371010
97834404743246
102240240022024
117940980a9134
1230220ba25b20
1313333b593964
147a5dcd7c2a4
153d41904b519
hex20998b5f208

2240240022024 has 32 divisors (see below), whose sum is σ = 5844104406720. Its totient is φ = 714279427136.

The previous prime is 2240240022011. The next prime is 2240240022029. The reversal of 2240240022024 is 4202200420422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2240240021985 and 2240240022003.

It is not an unprimeable number, because it can be changed into a prime (2240240022029) 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 7 ways as a sum of consecutive naturals, for example, 2029202367 + ... + 2029203470.

It is an arithmetic number, because the mean of its divisors is an integer number (182628262710).

Almost surely, 22240240022024 is an apocalyptic number.

2240240022024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2240240022024 is an abundant number, since it is smaller than the sum of its proper divisors (3603864384696).

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

2240240022024 is a wasteful number, since it uses less digits than its factorization.

2240240022024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058405869 (or 4058405865 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2240240022024 its reverse (4202200420422), we get a palindrome (6442440442446).

The spelling of 2240240022024 in words is "two trillion, two hundred forty billion, two hundred forty million, twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 4058405837 8116811674 12175217511 16233623348 24350435022 32467246696 48700870044 93343334251 97401740088 186686668502 280030002753 373373337004 560060005506 746746674008 1120120011012 2240240022024