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1000002220 = 225717894721
BaseRepresentation
bin111011100110101…
…101001010101100
32120200200101011021
4323212231022230
54022000032340
6243121303524
733531610240
oct7346551254
92520611137
101000002220
11473525518
1223aa94ba4
1312c23b1b9
1496b4c420
155cbd1e4a
hex3b9ad2ac

1000002220 has 96 divisors (see below), whose sum is σ = 2570279040. Its totient is φ = 318996480.

The previous prime is 1000002193. The next prime is 1000002233. The reversal of 1000002220 is 222000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

1000002220 is a modest number, since divided by 2220 gives 1000 as remainder.

It is an unprimeable number.

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, 209460 + ... + 214180.

It is an arithmetic number, because the mean of its divisors is an integer number (26773740).

Almost surely, 21000002220 is an apocalyptic number.

1000002220 is a gapful number since it is divisible by the number (10) 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 1000002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285139520).

1000002220 is an abundant number, since it is smaller than the sum of its proper divisors (1570276820).

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

1000002220 is a wasteful number, since it uses less digits than its factorization.

1000002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1000002220 is about 31622.8117029463. The cubic root of 1000002220 is about 1000.0007399995. Note that the first 3 decimals are identical.

Adding to 1000002220 its reverse (222000001), we get a palindrome (1222002221).

The spelling of 1000002220 in words is "one billion, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 89 119 140 170 178 238 340 356 445 476 595 623 890 1190 1246 1513 1780 2380 2492 3026 3115 4721 6052 6230 7565 9442 10591 12460 15130 18884 21182 23605 30260 33047 42364 47210 52955 66094 80257 94420 105910 132188 160514 165235 211820 321028 330470 401285 420169 561799 660940 802570 840338 1123598 1605140 1680676 2100845 2247196 2808995 2941183 4201690 5617990 5882366 7142873 8403380 11235980 11764732 14285746 14705915 28571492 29411830 35714365 50000111 58823660 71428730 100000222 142857460 200000444 250000555 500001110 1000002220