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2003424220 = 2257196112347
BaseRepresentation
bin111011101101001…
…1101001111011100
312011121210111101001
41313122131033130
513100334033340
6530444200044
7100434552640
oct16732351734
95147714331
102003424220
119389762a6
1247ab39024
1325c0a5b25
1415010ac20
15bad3c29a
hex7769d3dc

2003424220 has 96 divisors (see below), whose sum is σ = 5144670720. Its totient is φ = 640016640.

The previous prime is 2003424217. The next prime is 2003424257. The reversal of 2003424220 is 224243002.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156087 + ... + 168433.

It is an arithmetic number, because the mean of its divisors is an integer number (53590320).

Almost surely, 22003424220 is an apocalyptic number.

2003424220 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 2003424220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572335360).

2003424220 is an abundant number, since it is smaller than the sum of its proper divisors (3141246500).

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

2003424220 is a wasteful number, since it uses less digits than its factorization.

2003424220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12443 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2003424220 is about 44759.6271208776. The cubic root of 2003424220 is about 1260.6396810685.

Adding to 2003424220 its reverse (224243002), we get a palindrome (2227667222).

The spelling of 2003424220 in words is "two billion, three million, four hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 61 70 76 95 122 133 140 190 244 266 305 380 427 532 610 665 854 1159 1220 1330 1708 2135 2318 2660 4270 4636 5795 8113 8540 11590 12347 16226 23180 24694 32452 40565 49388 61735 81130 86429 123470 162260 172858 234593 246940 345716 432145 469186 753167 864290 938372 1172965 1506334 1642151 1728580 2345930 3012668 3284302 3765835 4691860 5272169 6568604 7531670 8210755 10544338 14310173 15063340 16421510 21088676 26360845 28620346 32843020 52721690 57240692 71550865 100171211 105443380 143101730 200342422 286203460 400684844 500856055 1001712110 2003424220