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112324224 = 273734007
BaseRepresentation
bin1101011000111…
…10111010000000
321211100122212110
412230132322000
5212223333344
615051255320
72532511605
oct654367200
9254318773
10112324224
1158449941
123174a540
131a36a24c
1410cbc6ac
159cdb3b9
hex6b1ee80

112324224 has 64 divisors (see below), whose sum is σ = 302523840. Its totient is φ = 36919296.

The previous prime is 112324217. The next prime is 112324231. The reversal of 112324224 is 422423211.

It is an interprime number because it is at equal distance from previous prime (112324217) and next prime (112324231).

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

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 112324224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26029 + ... + 30035.

It is an arithmetic number, because the mean of its divisors is an integer number (4726935).

Almost surely, 2112324224 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 112324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151261920).

112324224 is an abundant number, since it is smaller than the sum of its proper divisors (190199616).

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

112324224 is an equidigital number, since it uses as much as digits as its factorization.

112324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4085 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 112324224 is about 10598.3123184779. The cubic root of 112324224 is about 482.4931392261.

Adding to 112324224 its reverse (422423211), we get a palindrome (534747435).

The spelling of 112324224 in words is "one hundred twelve million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 438 584 876 1168 1752 2336 3504 4007 4672 7008 8014 9344 12021 14016 16028 24042 28032 32056 48084 64112 96168 128224 192336 256448 292511 384672 512896 585022 769344 877533 1170044 1538688 1755066 2340088 3510132 4680176 7020264 9360352 14040528 18720704 28081056 37441408 56162112 112324224