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200000220 = 223573115361
BaseRepresentation
bin10111110101111…
…00001011011100
3111221100001201120
423322330023130
5402200001340
631502410540
74645655010
oct1372741334
9457301646
10200000220
11a2993142
1256b90a50
1332587434
141c7c2540
15128594d0
hexbebc2dc

200000220 has 96 divisors (see below), whose sum is σ = 660688896. Its totient is φ = 44236800.

The previous prime is 200000209. The next prime is 200000221. The reversal of 200000220 is 22000002.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

200000220 is a modest number, since divided by 220 gives 200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 200000199 and 200000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5340 + ... + 20700.

It is an arithmetic number, because the mean of its divisors is an integer number (6882176).

Almost surely, 2200000220 is an apocalyptic number.

200000220 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 200000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330344448).

200000220 is an abundant number, since it is smaller than the sum of its proper divisors (460688676).

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

200000220 is a wasteful number, since it uses less digits than its factorization.

200000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411 (or 15409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 200000220 is about 14142.1434019034. The cubic root of 200000220 is about 584.8037620705.

Adding to 200000220 its reverse (22000002), we get a palindrome (222000222).

The spelling of 200000220 in words is "two hundred million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 13020 15361 30722 46083 61444 76805 92166 107527 153610 184332 215054 230415 307220 322581 430108 460830 476191 537635 645162 921660 952382 1075270 1290324 1428573 1612905 1904764 2150540 2380955 2857146 3225810 3333337 4761910 5714292 6451620 6666674 7142865 9523820 10000011 13333348 14285730 16666685 20000022 28571460 33333370 40000044 50000055 66666740 100000110 200000220