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112217424 = 24311283751
BaseRepresentation
bin1101011000001…
…00110101010000
321211011020100220
412230010311100
5212211424144
615045113040
72531555334
oct654046520
9254136326
10112217424
1158386680
12316b8780
131a330757
1410c917c4
159cb9919
hex6b04d50

112217424 has 80 divisors (see below), whose sum is σ = 317789184. Its totient is φ = 33840000.

The previous prime is 112217419. The next prime is 112217447. The reversal of 112217424 is 424712211.

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 = 112217394 and 112217403.

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 15 ways as a sum of consecutive naturals, for example, 149049 + ... + 149799.

Almost surely, 2112217424 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 112217424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158894592).

112217424 is an abundant number, since it is smaller than the sum of its proper divisors (205571760).

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

112217424 is a wasteful number, since it uses less digits than its factorization.

112217424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 112217424 is about 10593.2725821627. The cubic root of 112217424 is about 482.3401695280.

Adding to 112217424 its reverse (424712211), we get a palindrome (536929635).

The spelling of 112217424 in words is "one hundred twelve million, two hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 283 528 566 751 849 1132 1502 1698 2253 2264 3004 3113 3396 4506 4528 6008 6226 6792 8261 9012 9339 12016 12452 13584 16522 18024 18678 24783 24904 33044 36048 37356 49566 49808 66088 74712 99132 132176 149424 198264 212533 396528 425066 637599 850132 1275198 1700264 2337863 2550396 3400528 4675726 5100792 7013589 9351452 10201584 14027178 18702904 28054356 37405808 56108712 112217424