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2000212200 = 2332527158747
BaseRepresentation
bin111011100111000…
…1101000011101000
312011101202022022100
41313032031003220
513044023242300
6530251253400
7100365344310
oct16716150350
95141668270
102000212200
11937082038
12479a4a260
1325b51cb1c
1414d912440
15ba905700
hex7738d0e8

2000212200 has 144 divisors (see below), whose sum is σ = 7677053280. Its totient is φ = 457188480.

The previous prime is 2000212199. The next prime is 2000212211. The reversal of 2000212200 is 22120002.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66774 + ... + 91973.

It is an arithmetic number, because the mean of its divisors is an integer number (53312870).

Almost surely, 22000212200 is an apocalyptic number.

2000212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000212200 is an abundant number, since it is smaller than the sum of its proper divisors (5676841080).

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

2000212200 is a wasteful number, since it uses less digits than its factorization.

2000212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158776 (or 158764 counting only the distinct ones).

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

The square root of 2000212200 is about 44723.7319551935. The cubic root of 2000212200 is about 1259.9656075269.

Adding to 2000212200 its reverse (22120002), we get a palindrome (2022332202).

The spelling of 2000212200 in words is "two billion, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 158747 317494 476241 634988 793735 952482 1111229 1269976 1428723 1587470 1904964 2222458 2381205 2857446 3174940 3333687 3809928 3968675 4444916 4762410 5556145 5714892 6349880 6667374 7143615 7937350 8889832 9524820 10001061 11112290 11429784 11906025 13334748 14287230 15874700 16668435 19049640 20002122 22224580 23812050 26669496 27780725 28574460 31749400 33336870 35718075 40004244 44449160 47624100 50005305 55561450 57148920 66673740 71436150 80008488 83342175 95248200 100010610 111122900 133347480 142872300 166684350 200021220 222245800 250026525 285744600 333368700 400042440 500053050 666737400 1000106100 2000212200