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212213210220 = 2232511107178389
BaseRepresentation
bin1100010110100011100…
…1001001110001101100
3202021202111121001021200
43011220321021301230
511434103040211340
6241253413325500
721221561344614
oct3055071116154
9667674531250
10212213210220
1181aa9908870
1235165936890
131701c6b4a9b
14a3b215da44
1557c07ad330
hex3168e49c6c

212213210220 has 72 divisors (see below), whose sum is σ = 702232811280. Its totient is φ = 51445626240.

The previous prime is 212213210201. The next prime is 212213210227. The reversal of 212213210220 is 22012312212.

212213210220 is a `hidden beast` number, since 2 + 122 + 1 + 321 + 0 + 220 = 666.

212213210220 is digitally balanced in base 3, 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 = 212213210193 and 212213210202.

It is not an unprimeable number, because it can be changed into a prime (212213210227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53587215 + ... + 53591174.

It is an arithmetic number, because the mean of its divisors is an integer number (9753233490).

Almost surely, 2212213210220 is an apocalyptic number.

212213210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213210220 is an abundant number, since it is smaller than the sum of its proper divisors (490019601060).

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

212213210220 is a wasteful number, since it uses less digits than its factorization.

212213210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107178415 (or 107178410 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212213210220 its reverse (22012312212), we get a palindrome (234225522432).

The spelling of 212213210220 in words is "two hundred twelve billion, two hundred thirteen million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 107178389 214356778 321535167 428713556 535891945 643070334 964605501 1071783890 1178962279 1286140668 1607675835 1929211002 2143567780 2357924558 3215351670 3536886837 3858422004 4715849116 4823027505 5894811395 6430703340 7073773674 9646055010 10610660511 11789622790 14147547348 17684434185 19292110020 21221321022 23579245580 35368868370 42442642044 53053302555 70737736740 106106605110 212213210220