Search a number
-
+
2200024244224 = 2131922932539
BaseRepresentation
bin100000000000111011101…
…010011110000000000000
321210022122110202021021201
4200000323222132000000
5242021122201303344
64402402134430544
7314642436345652
oct40007352360000
97708573667251
102200024244224
11779030371034
122b6467802454
1312c5cc8c1731
14786a5c826d2
153c3636404d4
hex2003ba9e000

2200024244224 has 168 divisors, whose sum is σ = 4661218419480. Its totient is φ = 1038150991872.

The previous prime is 2200024244219. The next prime is 2200024244227. The reversal of 2200024244224 is 4224424200022.

It is a junction number, because it is equal to n+sod(n) for n = 2200024244192 and 2200024244201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200024244227) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 866491147 + ... + 866493685.

It is an arithmetic number, because the mean of its divisors is an integer number (27745347735).

Almost surely, 22200024244224 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 2200024244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330609209740).

2200024244224 is an abundant number, since it is smaller than the sum of its proper divisors (2461194175256).

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

2200024244224 is an equidigital number, since it uses as much as digits as its factorization.

2200024244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2200024244224 its reverse (4224424200022), we get a palindrome (6424448444246).

The spelling of 2200024244224 in words is "two trillion, two hundred billion, twenty-four million, two hundred forty-four thousand, two hundred twenty-four".