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248234112 = 2733731331
BaseRepresentation
bin11101100101111…
…00000010000000
3122022002121012000
432302330002000
51002021442422
640344304000
76102645420
oct1662740200
9568077160
10248234112
11118137a65
126b172000
133c5749b9
1424d7a480
1516bd5cac
hexecbc080

248234112 has 256 divisors, whose sum is σ = 866918400. Its totient is φ = 68428800.

The previous prime is 248234099. The next prime is 248234117. The reversal of 248234112 is 211432842.

248234112 is a `hidden beast` number, since 248 + 2 + 3 + 411 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (248234117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 749787 + ... + 750117.

It is an arithmetic number, because the mean of its divisors is an integer number (3386400).

Almost surely, 2248234112 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 248234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433459200).

248234112 is an abundant number, since it is smaller than the sum of its proper divisors (618684288).

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

248234112 is a wasteful number, since it uses less digits than its factorization.

248234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 374 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 248234112 is about 15755.4470580812. The cubic root of 248234112 is about 628.4737658578.

Adding to 248234112 its reverse (211432842), we get a palindrome (459666954).

The spelling of 248234112 in words is "two hundred forty-eight million, two hundred thirty-four thousand, one hundred twelve".