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2200220220 = 2235114337699
BaseRepresentation
bin1000001100100100…
…1011001000111100
312200100002202201210
42003021023020330
514001224021340
61002154204420
7105344364132
oct20311131074
95610082653
102200220220
11a29a70020
12514a23710
13290aaa973
1416c2d7752
15cd262180
hex8324b23c

2200220220 has 96 divisors (see below), whose sum is σ = 6737068800. Its totient is φ = 532085760.

The previous prime is 2200220213. The next prime is 2200220233. The reversal of 2200220220 is 220220022.

It is a Harshad number since it is a multiple of its sum of digits (12).

2200220220 is a modest number, since divided by 220220 gives 2200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2200220196 and 2200220205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281931 + ... + 289629.

It is an arithmetic number, because the mean of its divisors is an integer number (70177800).

Almost surely, 22200220220 is an apocalyptic number.

2200220220 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 2200220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368534400).

2200220220 is an abundant number, since it is smaller than the sum of its proper divisors (4536848580).

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

2200220220 is a wasteful number, since it uses less digits than its factorization.

2200220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2200220220 is about 46906.5050925775. The cubic root of 2200220220 is about 1300.6348418048.

Adding to 2200220220 its reverse (220220022), we get a palindrome (2420440242).

The spelling of 2200220220 in words is "two billion, two hundred million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 433 660 866 1299 1732 2165 2598 4330 4763 5196 6495 7699 8660 9526 12990 14289 15398 19052 23097 23815 25980 28578 30796 38495 46194 47630 57156 71445 76990 84689 92388 95260 115485 142890 153980 169378 230970 254067 285780 338756 423445 461940 508134 846890 1016268 1270335 1693780 2540670 3333667 5081340 6667334 10001001 13334668 16668335 20002002 33336670 36670337 40004004 50005005 66673340 73340674 100010010 110011011 146681348 183351685 200020020 220022022 366703370 440044044 550055055 733406740 1100110110 2200220220