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22414344416 = 251764164279
BaseRepresentation
bin10100110111111111…
…111100000011100000
32010212002112200011022
4110313333330003200
5331401033010131
614144053105012
71422306532622
oct246777740340
963762480138
1022414344416
119562349792
124416628168
1321629466b9
141128bdac12
158b2bc737b
hex537ffc0e0

22414344416 has 48 divisors (see below), whose sum is σ = 46797639840. Its totient is φ = 10531307520.

The previous prime is 22414344413. The next prime is 22414344431. The reversal of 22414344416 is 61444341422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22414344413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316565 + ... + 380843.

It is an arithmetic number, because the mean of its divisors is an integer number (974950830).

Almost surely, 222414344416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22414344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398819920).

22414344416 is an abundant number, since it is smaller than the sum of its proper divisors (24383295424).

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

22414344416 is a wasteful number, since it uses less digits than its factorization.

22414344416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64947 (or 64939 counting only the distinct ones).

The product of its digits is 73728, while the sum is 35.

Adding to 22414344416 its reverse (61444341422), we get a palindrome (83858685838).

The spelling of 22414344416 in words is "twenty-two billion, four hundred fourteen million, three hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 641 1282 2564 5128 10256 10897 20512 21794 43588 64279 87176 128558 174352 257116 348704 514232 1028464 1092743 2056928 2185486 4370972 8741944 17483888 34967776 41202839 82405678 164811356 329622712 659245424 700448263 1318490848 1400896526 2801793052 5603586104 11207172208 22414344416