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2212100220 = 2235112535749
BaseRepresentation
bin1000001111011001…
…1111100001111100
312201011110100000210
42003312133201330
514012244201340
61003300552420
7105550353531
oct20366374174
95634410023
102212100220
11a35744700
125189b2710
132933aa155
1416db0ad88
15ce30c180
hex83d9f87c

2212100220 has 144 divisors (see below), whose sum is σ = 6937812000. Its totient is φ = 526056960.

The previous prime is 2212100179. The next prime is 2212100243. The reversal of 2212100220 is 220012122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2212100196 and 2212100205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381906 + ... + 387654.

It is an arithmetic number, because the mean of its divisors is an integer number (48179250).

Almost surely, 22212100220 is an apocalyptic number.

2212100220 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 2212100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468906000).

2212100220 is an abundant number, since it is smaller than the sum of its proper divisors (4725711780).

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

2212100220 is a wasteful number, since it uses less digits than its factorization.

2212100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2212100220 is about 47032.9695001283. The cubic root of 2212100220 is about 1302.9715495748.

Adding to 2212100220 its reverse (220012122), we get a palindrome (2432112342).

The spelling of 2212100220 in words is "two billion, two hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 121 132 159 165 212 220 242 265 318 330 363 484 530 583 605 636 660 726 795 1060 1166 1210 1452 1590 1749 1815 2332 2420 2915 3180 3498 3630 5749 5830 6413 6996 7260 8745 11498 11660 12826 17247 17490 19239 22996 25652 28745 32065 34494 34980 38478 57490 63239 64130 68988 76956 86235 96195 114980 126478 128260 172470 189717 192390 252956 304697 316195 344940 379434 384780 609394 632390 695629 758868 914091 948585 1218788 1264780 1391258 1523485 1828182 1897170 2086887 2782516 3046970 3351667 3478145 3656364 3794340 4173774 4570455 6093940 6703334 6956290 8347548 9140910 10055001 10434435 13406668 13912580 16758335 18281820 20110002 20868870 33516670 36868337 40220004 41737740 50275005 67033340 73736674 100550010 110605011 147473348 184341685 201100020 221210022 368683370 442420044 553025055 737366740 1106050110 2212100220