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200212020 = 22335419043
BaseRepresentation
bin10111110111011…
…11111000110100
3111221201211021000
423323233320310
5402223241040
631511123300
74650526341
oct1373577064
9457654230
10200212020
11a3018288
1257073530
133262c968
141c8397c8
151289c130
hexbeefe34

200212020 has 96 divisors (see below), whose sum is σ = 638144640. Its totient is φ = 52081920.

The previous prime is 200212003. The next prime is 200212039. The reversal of 200212020 is 20212002.

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 = 200211993 and 200212011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17619 + ... + 26661.

It is an arithmetic number, because the mean of its divisors is an integer number (6647340).

Almost surely, 2200212020 is an apocalyptic number.

200212020 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 200212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319072320).

200212020 is an abundant number, since it is smaller than the sum of its proper divisors (437932620).

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

200212020 is a wasteful number, since it uses less digits than its factorization.

200212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102 (or 9094 counting only the distinct ones).

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

The square root of 200212020 is about 14149.6296771329. The cubic root of 200212020 is about 585.0101247426.

Adding to 200212020 its reverse (20212002), we get a palindrome (220424022).

The spelling of 200212020 in words is "two hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 9043 11070 18086 22140 27129 36172 45215 54258 81387 90430 108516 135645 162774 180860 244161 271290 325548 370763 406935 488322 542580 741526 813870 976644 1112289 1220805 1483052 1627740 1853815 2224578 2441610 3336867 3707630 4449156 4883220 5561445 6673734 7415260 10010601 11122890 13347468 16684335 20021202 22245780 33368670 40042404 50053005 66737340 100106010 200212020