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22224100444 = 22713367166363
BaseRepresentation
bin10100101100101010…
…001101110001011100
32010100211120021111021
4110230222031301130
5331003332203234
614113135333524
71414506510520
oct245452156134
963324507437
1022224100444
119474a1a667
1243829812a4
1321323c6bc0
14110b837d80
158a11489b4
hex52ca8dc5c

22224100444 has 48 divisors (see below), whose sum is σ = 47998010368. Its totient is φ = 8767942848.

The previous prime is 22224100417. The next prime is 22224100487. The reversal of 22224100444 is 44400142222.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 50407 + ... + 216769.

Almost surely, 222224100444 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 22224100444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999005184).

22224100444 is an abundant number, since it is smaller than the sum of its proper divisors (25773909924).

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

22224100444 is a wasteful number, since it uses less digits than its factorization.

22224100444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166754 (or 166752 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 22224100444 its reverse (44400142222), we get a palindrome (66624242666).

The spelling of 22224100444 in words is "twenty-two billion, two hundred twenty-four million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 367 734 1468 2569 4771 5138 9542 10276 19084 33397 66794 133588 166363 332726 665452 1164541 2162719 2329082 4325438 4658164 8650876 15139033 30278066 60556132 61055221 122110442 244220884 427386547 793717873 854773094 1587435746 1709546188 3174871492 5556025111 11112050222 22224100444