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4432112224 = 252944310781
BaseRepresentation
bin1000010000010110…
…01010101001100000
3102102212210121222121
410020023022221200
533034110042344
62011443314024
7214555221661
oct41013125140
912385717877
104432112224
1119748a2571
12a3837b914
135582c7517
143008b7368
151ae17d684
hex1082caa60

4432112224 has 48 divisors (see below), whose sum is σ = 9047823120. Its totient is φ = 2134612480.

The previous prime is 4432112207. The next prime is 4432112231. The reversal of 4432112224 is 4222112344.

It is a super-2 number, since 2×44321122242 = 39287237532260452352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405714 + ... + 416494.

It is an arithmetic number, because the mean of its divisors is an integer number (188496315).

Almost surely, 24432112224 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 4432112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523911560).

4432112224 is an abundant number, since it is smaller than the sum of its proper divisors (4615710896).

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

4432112224 is a wasteful number, since it uses less digits than its factorization.

4432112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11263 (or 11255 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 4432112224 is about 66574.1107638698. The cubic root of 4432112224 is about 1642.6192806520.

Adding to 4432112224 its reverse (4222112344), we get a palindrome (8654224568).

The spelling of 4432112224 in words is "four billion, four hundred thirty-two million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 443 464 886 928 1772 3544 7088 10781 12847 14176 21562 25694 43124 51388 86248 102776 172496 205552 312649 344992 411104 625298 1250596 2501192 4775983 5002384 9551966 10004768 19103932 38207864 76415728 138503507 152831456 277007014 554014028 1108028056 2216056112 4432112224