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223198848 = 27331729131
BaseRepresentation
bin11010100110110…
…11111010000000
3120112222200021000
431103123322000
5424114330343
634051532000
75350105335
oct1523337200
9515880230
10223198848
11104a98664
12628ba000
133731a732
142190098c
15148dced3
hexd4dbe80

223198848 has 256 divisors, whose sum is σ = 727056000. Its totient is φ = 67092480.

The previous prime is 223198841. The next prime is 223198861. The reversal of 223198848 is 848891322.

223198848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231988483 (a number of 26 digits) contains 333 as substring.

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 (223198841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703743 + ... + 1703873.

Almost surely, 2223198848 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 223198848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363528000).

223198848 is an abundant number, since it is smaller than the sum of its proper divisors (503857152).

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

223198848 is a wasteful number, since it uses less digits than its factorization.

223198848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 223198848 is about 14939.8409630089. The cubic root of 223198848 is about 606.5928909736.

It can be divided in two parts, 2231988 and 48, that added together give a square (2232036 = 14942).

The spelling of 223198848 in words is "two hundred twenty-three million, one hundred ninety-eight thousand, eight hundred forty-eight".