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212012222220 = 223253757755171
BaseRepresentation
bin1100010101110011101…
…0011100011100001100
3202021020111101210120200
43011130322130130030
511433200112102340
6241221433413500
721213601104021
oct3053472343414
9667214353520
10212012222220
1181a06410587
123510a56a290
1316cb9b72b86
14a3935a1548
1557acd0b330
hex315ce9c70c

212012222220 has 144 divisors (see below), whose sum is σ = 661641603168. Its totient is φ = 54912245760.

The previous prime is 212012222197. The next prime is 212012222221. The reversal of 212012222220 is 22222210212.

212012222220 is a `hidden beast` number, since 21 + 201 + 2 + 222 + 220 = 666.

212012222220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 212012222193 and 212012222202.

It is not an unprimeable number, because it can be changed into a prime (212012222221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3815235 + ... + 3870405.

Almost surely, 2212012222220 is an apocalyptic number.

212012222220 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 212012222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330820801584).

212012222220 is an abundant number, since it is smaller than the sum of its proper divisors (449629380948).

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

212012222220 is a wasteful number, since it uses less digits than its factorization.

212012222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55800 (or 55795 counting only the distinct ones).

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

Adding to 212012222220 its reverse (22222210212), we get a palindrome (234234432432).

The spelling of 212012222220 in words is "two hundred twelve billion, twelve million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 577 666 740 1110 1154 1332 1665 1731 2220 2308 2885 3330 3462 5193 5770 6660 6924 8655 10386 11540 17310 20772 21349 25965 34620 42698 51930 55171 64047 85396 103860 106745 110342 128094 165513 192141 213490 220684 256188 275855 320235 331026 384282 426980 496539 551710 640470 662052 768564 827565 960705 993078 1103420 1280940 1655130 1921410 1986156 2041327 2482695 3310260 3842820 4082654 4965390 6123981 8165308 9930780 10206635 12247962 18371943 20413270 24495924 30619905 31833667 36743886 40826540 61239810 63667334 73487772 91859715 95501001 122479620 127334668 159168335 183719430 191002002 286503003 318336670 367438860 382004004 477505005 573006006 636673340 955010010 1146012012 1177845679 1432515015 1910020020 2355691358 2865030030 3533537037 4711382716 5730060060 5889228395 7067074074 10600611111 11778456790 14134148148 17667685185 21201222222 23556913580 35335370370 42402444444 53003055555 70670740740 106006111110 212012222220