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22300022310032 = 243229431635613
BaseRepresentation
bin1010001001000001000001…
…11010001000010010010000
32220221212020220012211222102
411010200200322020102100
510410330421202410112
6115232253330255532
74461060225052205
oct504404072102220
986855226184872
1022300022310032
117118428262a65
122601a884275a8
13c59b631886bc
14571480bb9cac
1528a11c47cbc2
hex144820e88490

22300022310032 has 20 divisors (see below), whose sum is σ = 43219674029820. Its totient is φ = 11146558044288.

The previous prime is 22300022310031. The next prime is 22300022310061. The reversal of 22300022310032 is 23001322000322.

It can be written as a sum of positive squares in 2 ways, for example, as 10969635457936 + 11330386852096 = 3312044^2 + 3366064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22300022309986 and 22300022310013.

It is not an unprimeable number, because it can be changed into a prime (22300022310031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215766143 + ... + 215869470.

It is an arithmetic number, because the mean of its divisors is an integer number (2160983701491).

Almost surely, 222300022310032 is an apocalyptic number.

It is an amenable number.

22300022310032 is a deficient number, since it is larger than the sum of its proper divisors (20919651719788).

22300022310032 is a wasteful number, since it uses less digits than its factorization.

22300022310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431638850 (or 431638844 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22300022310032 its reverse (23001322000322), we get a palindrome (45301344310354).

The spelling of 22300022310032 in words is "twenty-two trillion, three hundred billion, twenty-two million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 3229 6458 12916 25832 51664 431635613 863271226 1726542452 3453084904 6906169808 1393751394377 2787502788754 5575005577508 11150011155016 22300022310032