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4200212420 = 2252112833517
BaseRepresentation
bin1111101001011010…
…0010011111000100
3101211201102220020222
43322112202133010
532100223244140
61532441043512
7206041134155
oct37226423704
911751386228
104200212420
111865a01838
12992786598
1351c2515c1
142bbb8d92c
15198b225b5
hexfa5a27c4

4200212420 has 48 divisors (see below), whose sum is σ = 8896093248. Its totient is φ = 1665740160.

The previous prime is 4200212399. The next prime is 4200212449. The reversal of 4200212420 is 242120024.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1192502 + ... + 1196018.

It is an arithmetic number, because the mean of its divisors is an integer number (185335276).

Almost surely, 24200212420 is an apocalyptic number.

It is an amenable number.

4200212420 is an abundant number, since it is smaller than the sum of its proper divisors (4695880828).

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

4200212420 is a wasteful number, since it uses less digits than its factorization.

4200212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4200212420 is about 64809.0458192373. The cubic root of 4200212420 is about 1613.4558459242.

Adding to 4200212420 its reverse (242120024), we get a palindrome (4442332444).

The spelling of 4200212420 in words is "four billion, two hundred million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 211 283 422 566 844 1055 1132 1415 2110 2830 3517 4220 5660 7034 14068 17585 35170 59713 70340 119426 238852 298565 597130 742087 995311 1194260 1484174 1990622 2968348 3710435 3981244 4976555 7420870 9953110 14841740 19906220 210010621 420021242 840042484 1050053105 2100106210 4200212420