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1000220220 = 2232567197421
BaseRepresentation
bin111011100111100…
…010011000111100
32120201002110012100
4323213202120330
54022024021340
6243130105100
733533505636
oct7347423074
92521073170
101000220220
1147366428a
1223ab7b190
1312c2b64ac
1496ba7a56
155cc26830
hex3b9e263c

1000220220 has 144 divisors (see below), whose sum is σ = 3102267168. Its totient is φ = 260789760.

The previous prime is 1000220209. The next prime is 1000220267. The reversal of 1000220220 is 220220001.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2375610 + ... + 2376030.

It is an arithmetic number, because the mean of its divisors is an integer number (21543522).

Almost surely, 21000220220 is an apocalyptic number.

1000220220 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 1000220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551133584).

1000220220 is an abundant number, since it is smaller than the sum of its proper divisors (2102046948).

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

1000220220 is a wasteful number, since it uses less digits than its factorization.

1000220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 695 counting only the distinct ones).

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

The square root of 1000220220 is about 31626.2583939359. The cubic root of 1000220220 is about 1000.0734012788.

Adding to 1000220220 its reverse (220220001), we get a palindrome (1220440221).

The spelling of 1000220220 in words is "one billion, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 197 201 268 335 394 402 421 591 603 670 788 804 842 985 1005 1182 1206 1263 1340 1684 1773 1970 2010 2105 2364 2412 2526 2955 3015 3546 3789 3940 4020 4210 5052 5910 6030 6315 7092 7578 8420 8865 11820 12060 12630 13199 15156 17730 18945 25260 26398 28207 35460 37890 39597 52796 56414 65995 75780 79194 82937 84621 112828 118791 131990 141035 158388 165874 169242 197985 237582 248811 253863 263980 282070 331748 338484 395970 414685 423105 475164 497622 507726 564140 593955 746433 791940 829370 846210 995244 1015452 1187910 1244055 1269315 1492866 1658740 1692420 2375820 2488110 2538630 2985732 3732165 4976220 5077260 5556779 7464330 11113558 14928660 16670337 22227116 27783895 33340674 50011011 55567790 66681348 83351685 100022022 111135580 166703370 200044044 250055055 333406740 500110110 1000220220