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212102222220 = 22335728015957
BaseRepresentation
bin1100010110001001000…
…1110001000110001100
3202021110202202021101000
43011202101301012030
511433341132102340
6241234410420300
721216043066500
oct3054221610614
9667422667330
10212102222220
1181a521a1949
1235134731690
13170026c4b05
14a3a150c300
1557b5b87d30
hex316247118c

212102222220 has 144 divisors (see below), whose sum is σ = 767608138080. Its totient is φ = 48480501888.

The previous prime is 212102222209. The next prime is 212102222231. The reversal of 212102222220 is 22222201212.

212102222220 is a `hidden beast` number, since 212 + 10 + 2 + 222 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (212102222209) and next prime (212102222231).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212102222193 and 212102222202.

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, 3981519 + ... + 4034438.

It is an arithmetic number, because the mean of its divisors is an integer number (5330612070).

Almost surely, 2212102222220 is an apocalyptic number.

212102222220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102222220 is an abundant number, since it is smaller than the sum of its proper divisors (555505915860).

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

212102222220 is a wasteful number, since it uses less digits than its factorization.

212102222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015989 (or 8015974 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212102222220 its reverse (22222201212), we get a palindrome (234324423432).

The spelling of 212102222220 in words is "two hundred twelve billion, one hundred two million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 8015957 16031914 24047871 32063828 40079785 48095742 56111699 72143613 80159570 96191484 112223398 120239355 144287226 160319140 168335097 216430839 224446796 240478710 280558495 288574452 336670194 360718065 392781893 432861678 480957420 505005291 561116990 673340388 721436130 785563786 841675485 865723356 1010010582 1082154195 1122233980 1178345679 1442872260 1515015873 1571127572 1683350970 1963909465 2020021164 2164308390 2356691358 2525026455 3030031746 3366701940 3535037037 3927818930 4328616780 4713382716 5050052910 5891728395 6060063492 7070074074 7575079365 7855637860 10100105820 10605111111 11783456790 14140148148 15150158730 17675185185 21210222222 23566913580 30300317460 35350370370 42420444444 53025555555 70700740740 106051111110 212102222220