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2002202020 = 2257136171783
BaseRepresentation
bin111011101010111…
…0010110110100100
312011112111101211101
41313111302312210
513100030431040
6530402045444
7100421302450
oct16725626644
95145441741
102002202020
11938211015
1247a649884
1325ba68730
1414dcad660
15bab9a09a
hex77572da4

2002202020 has 96 divisors (see below), whose sum is σ = 5186216448. Its totient is φ = 632282112.

The previous prime is 2002202011. The next prime is 2002202039. The reversal of 2002202020 is 202022002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2002201988 and 2002202006.

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, 1122049 + ... + 1123831.

It is an arithmetic number, because the mean of its divisors is an integer number (54023088).

Almost surely, 22002202020 is an apocalyptic number.

2002202020 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 2002202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593108224).

2002202020 is an abundant number, since it is smaller than the sum of its proper divisors (3184014428).

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

2002202020 is a wasteful number, since it uses less digits than its factorization.

2002202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2002202020 is about 44745.9721092301. The cubic root of 2002202020 is about 1260.3832755231.

Adding to 2002202020 its reverse (202022002), we get a palindrome (2204224022).

The spelling of 2002202020 in words is "two billion, two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 617 910 1234 1783 1820 2468 3085 3566 4319 6170 7132 8021 8638 8915 12340 12481 16042 17276 17830 21595 23179 24962 32084 35660 40105 43190 46358 49924 56147 62405 80210 86380 92716 112294 115895 124810 160420 162253 224588 231790 249620 280735 324506 463580 561470 649012 811265 1100111 1122940 1622530 2200222 3245060 4400444 5500555 7700777 11001110 14301443 15401554 22002220 28602886 30803108 38503885 57205772 71507215 77007770 100110101 143014430 154015540 200220202 286028860 400440404 500550505 1001101010 2002202020