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2000212020 = 2232523835821
BaseRepresentation
bin111011100111000…
…1101000000110100
312011101202022001200
41313032031000310
513044023241040
6530251252500
7100365343632
oct16716150064
95141668050
102000212020
11937081994
12479a4a130
1325b51ca11
1414d912352
15ba905630
hex7738d034

2000212020 has 144 divisors (see below), whose sum is σ = 6408484992. Its totient is φ = 503965440.

The previous prime is 2000212013. The next prime is 2000212031. The reversal of 2000212020 is 202120002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000211993 and 2000212011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340710 + ... + 346530.

It is an arithmetic number, because the mean of its divisors is an integer number (44503368).

Almost surely, 22000212020 is an apocalyptic number.

2000212020 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 2000212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204242496).

2000212020 is an abundant number, since it is smaller than the sum of its proper divisors (4408272972).

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

2000212020 is a wasteful number, since it uses less digits than its factorization.

2000212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2000212020 is about 44723.7299428391. The cubic root of 2000212020 is about 1259.9655697319.

Adding to 2000212020 its reverse (202120002), we get a palindrome (2202332022).

The spelling of 2000212020 in words is "two billion, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 83 90 92 115 138 166 180 207 230 249 276 332 345 414 415 460 498 690 747 828 830 996 1035 1245 1380 1494 1660 1909 2070 2490 2988 3735 3818 4140 4980 5727 5821 7470 7636 9545 11454 11642 14940 17181 17463 19090 22908 23284 28635 29105 34362 34926 38180 52389 57270 58210 68724 69852 85905 87315 104778 114540 116420 133883 171810 174630 209556 261945 267766 343620 349260 401649 483143 523890 535532 669415 803298 966286 1047780 1204947 1338830 1449429 1606596 1932572 2008245 2409894 2415715 2677660 2898858 4016490 4348287 4819788 4831430 5797716 6024735 7247145 8032980 8696574 9662860 11112289 12049470 14494290 17393148 21741435 22224578 24098940 28988580 33336867 43482870 44449156 55561445 66673734 86965740 100010601 111122890 133347468 166684335 200021202 222245780 333368670 400042404 500053005 666737340 1000106010 2000212020