Search a number
-
+
2441222003220 = 223571113372634177
BaseRepresentation
bin100011100001100100001…
…010111001101000010100
322122101012221212221201220
4203201210022321220110
5304444110313100340
65105252031450340
7341241520436340
oct43414412715024
98571187787656
102441222003220
118613531a6340
123351603869b0
1314928b1815a0
148622763a620
154377d7e2ed0
hex238642b9a14

2441222003220 has 768 divisors, whose sum is σ = 9463777247232. Its totient is φ = 453750128640.

The previous prime is 2441222003173. The next prime is 2441222003221. The reversal of 2441222003220 is 223002221442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441222003221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 584441772 + ... + 584445948.

It is an arithmetic number, because the mean of its divisors is an integer number (12322626624).

Almost surely, 22441222003220 is an apocalyptic number.

2441222003220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441222003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731888623616).

2441222003220 is an abundant number, since it is smaller than the sum of its proper divisors (7022555244012).

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

2441222003220 is a wasteful number, since it uses less digits than its factorization.

2441222003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2441222003220 its reverse (223002221442), we get a palindrome (2664224224662).

The spelling of 2441222003220 in words is "two trillion, four hundred forty-one billion, two hundred twenty-two million, three thousand, two hundred twenty".