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111444224 = 282291901
BaseRepresentation
bin1101010010010…
…00000100000000
321202200221201212
412221020010000
5212012203344
615020345252
72522155163
oct651100400
9252627655
10111444224
11579a8771
12313a5228
131a11c838
1410b2dada
159bb579e
hex6a48100

111444224 has 36 divisors (see below), whose sum is σ = 223542060. Its totient is φ = 55449600.

The previous prime is 111444217. The next prime is 111444233. The reversal of 111444224 is 422444111.

It can be written as a sum of positive squares in 2 ways, for example, as 57274624 + 54169600 = 7568^2 + 7360^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111444224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57674 + ... + 59574.

Almost surely, 2111444224 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 111444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111771030).

111444224 is an abundant number, since it is smaller than the sum of its proper divisors (112097836).

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

111444224 is an equidigital number, since it uses as much as digits as its factorization.

111444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2132 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 111444224 is about 10556.7146404551. The cubic root of 111444224 is about 481.2298093739.

Adding to 111444224 its reverse (422444111), we get a palindrome (533888335).

The spelling of 111444224 in words is "one hundred eleven million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 916 1832 1901 3664 3802 7328 7604 14656 15208 29312 30416 58624 60832 121664 243328 435329 486656 870658 1741316 3482632 6965264 13930528 27861056 55722112 111444224