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10000220220 = 223251929100829
BaseRepresentation
bin10010101000000111…
…10100000000111100
3221210221011211012200
421110003310000330
5130440024021340
64332151231500
7502546316664
oct112403640074
927727154180
1010000220220
114271955511
121b31078590
13c34a66793
146ac1bd1a4
153d7e03330
hex2540f403c

10000220220 has 144 divisors (see below), whose sum is σ = 33031908000. Its totient is φ = 2439230976.

The previous prime is 10000220179. The next prime is 10000220261. The reversal of 10000220220 is 2202200001.

It is an interprime number because it is at equal distance from previous prime (10000220179) and next prime (10000220261).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48766 + ... + 149594.

It is an arithmetic number, because the mean of its divisors is an integer number (229388250).

Almost surely, 210000220220 is an apocalyptic number.

10000220220 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 10000220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515954000).

10000220220 is an abundant number, since it is smaller than the sum of its proper divisors (23031687780).

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

10000220220 is a wasteful number, since it uses less digits than its factorization.

10000220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100892 (or 100887 counting only the distinct ones).

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

Adding to 10000220220 its reverse (2202200001), we get a palindrome (12202420221).

The spelling of 10000220220 in words is "ten billion, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 522 551 570 580 684 855 870 1044 1102 1140 1305 1653 1710 1740 2204 2610 2755 3306 3420 4959 5220 5510 6612 8265 9918 11020 16530 19836 24795 33060 49590 99180 100829 201658 302487 403316 504145 604974 907461 1008290 1209948 1512435 1814922 1915751 2016580 2924041 3024870 3629844 3831502 4537305 5747253 5848082 6049740 7663004 8772123 9074610 9578755 11494506 11696164 14620205 17241759 17544246 18149220 19157510 22989012 26316369 28736265 29240410 34483518 35088492 38315020 43860615 52632738 55556779 57472530 58480820 68967036 86208795 87721230 105265476 111113558 114945060 131581845 166670337 172417590 175442460 222227116 263163690 277783895 333340674 344835180 500011011 526327380 555567790 666681348 833351685 1000022022 1111135580 1666703370 2000044044 2500055055 3333406740 5000110110 10000220220