Search a number
-
+
112441216 = 273143659
BaseRepresentation
bin1101011001110…
…11011110000000
321211120121100111
412230323132000
5212241104331
615054001104
72533506646
oct654733600
9254517314
10112441216
1158519828
12317a6194
131a3ab584
1410d0d196
159d10db1
hex6b3b780

112441216 has 64 divisors (see below), whose sum is σ = 236966400. Its totient is φ = 53061120.

The previous prime is 112441171. The next prime is 112441237. The reversal of 112441216 is 612144211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170295 + ... + 170953.

It is an arithmetic number, because the mean of its divisors is an integer number (3702600).

Almost surely, 2112441216 is an apocalyptic number.

112441216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118483200).

112441216 is an abundant number, since it is smaller than the sum of its proper divisors (124525184).

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

112441216 is an equidigital number, since it uses as much as digits as its factorization.

112441216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 735 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 112441216 is about 10603.8302513762. The cubic root of 112441216 is about 482.6605956862.

Adding to 112441216 its reverse (612144211), we get a palindrome (724585427).

The spelling of 112441216 in words is "one hundred twelve million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 344 496 659 688 992 1318 1333 1376 1984 2636 2666 2752 3968 5272 5332 5504 10544 10664 20429 21088 21328 28337 40858 42176 42656 56674 81716 84352 85312 113348 163432 170624 226696 326864 453392 653728 878447 906784 1307456 1756894 1813568 2614912 3513788 3627136 7027576 14055152 28110304 56220608 112441216