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224230016 = 271998803
BaseRepresentation
bin11010101110101…
…11101010000000
3120121221001202102
431113113222000
5424400330031
634130005532
75361631553
oct1527275200
9517831672
10224230016
1110563236a
12631168a8
13375bbbaa
1421acc69a
1514a437cb
hexd5d7a80

224230016 has 32 divisors (see below), whose sum is σ = 449004000. Its totient is φ = 111538944.

The previous prime is 224230009. The next prime is 224230021. The reversal of 224230016 is 610032422.

224230016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 224230016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21071 + ... + 29873.

It is an arithmetic number, because the mean of its divisors is an integer number (14031375).

Almost surely, 2224230016 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 224230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224502000).

224230016 is an abundant number, since it is smaller than the sum of its proper divisors (224773984).

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

224230016 is an equidigital number, since it uses as much as digits as its factorization.

224230016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016 (or 9004 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 224230016 is about 14974.3118706670. The cubic root of 224230016 is about 607.5255994677.

Adding to 224230016 its reverse (610032422), we get a palindrome (834262438).

The spelling of 224230016 in words is "two hundred twenty-four million, two hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 199 398 796 1592 3184 6368 8803 12736 17606 25472 35212 70424 140848 281696 563392 1126784 1751797 3503594 7007188 14014376 28028752 56057504 112115008 224230016