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4203405220 = 2257217324793
BaseRepresentation
bin1111101010001010…
…1101111110100100
3101211221110002221211
43322202231332210
532102032431340
61533033321204
7206110232500
oct37242557644
911757402854
104203405220
111867792613
12993866204
1351cacb931
142bc381300
151990535ea
hexfa8adfa4

4203405220 has 72 divisors (see below), whose sum is σ = 10328089464. Its totient is φ = 1432779264.

The previous prime is 4203405211. The next prime is 4203405221. The reversal of 4203405220 is 225043024.

It can be written as a sum of positive squares in 4 ways, for example, as 2489610816 + 1713794404 = 49896^2 + 41398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4203405191 and 4203405200.

It is not an unprimeable number, because it can be changed into a prime (4203405221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157144 + ... + 181936.

It is an arithmetic number, because the mean of its divisors is an integer number (143445687).

Almost surely, 24203405220 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 4203405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164044732).

4203405220 is an abundant number, since it is smaller than the sum of its proper divisors (6124684244).

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

4203405220 is a wasteful number, since it uses less digits than its factorization.

4203405220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24989 (or 24980 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 4203405220 is about 64833.6735038205. The cubic root of 4203405220 is about 1613.8645662910.

Adding to 4203405220 its reverse (225043024), we get a palindrome (4428448244).

The spelling of 4203405220 in words is "four billion, two hundred three million, four hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 173 196 245 346 490 692 865 980 1211 1730 2422 3460 4844 6055 8477 12110 16954 24220 24793 33908 42385 49586 84770 99172 123965 169540 173551 247930 347102 495860 694204 867755 1214857 1735510 2429714 3471020 4289189 4859428 6074285 8578378 12148570 17156756 21445945 24297140 30024323 42891890 60048646 85783780 120097292 150121615 210170261 300243230 420340522 600486460 840681044 1050851305 2101702610 4203405220