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212122220 = 225101173607
BaseRepresentation
bin11001010010010…
…11101001101100
3112210010220222112
430221023221230
5413300402340
633014303152
75154003062
oct1451135154
9483126875
10212122220
11a9812622
125b057ab8
1334c3cb0b
142025a032
1513951065
hexca4ba6c

212122220 has 48 divisors (see below), whose sum is σ = 453212928. Its totient is φ = 83385600.

The previous prime is 212122199. The next prime is 212122237. The reversal of 212122220 is 22221212.

212122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212122195 and 212122204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349157 + ... + 349763.

It is an arithmetic number, because the mean of its divisors is an integer number (9441936).

Almost surely, 2212122220 is an apocalyptic number.

212122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122220 is an abundant number, since it is smaller than the sum of its proper divisors (241090708).

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

212122220 is a wasteful number, since it uses less digits than its factorization.

212122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 212122220 is about 14564.4162258568. The cubic root of 212122220 is about 596.3877594690.

Adding to 212122220 its reverse (22221212), we get a palindrome (234343432).

It can be divided in two parts, 21212 and 2220, that added together give a palindrome (23432).

The spelling of 212122220 in words is "two hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 173 202 346 404 505 607 692 865 1010 1214 1730 2020 2428 3035 3460 6070 12140 17473 34946 61307 69892 87365 105011 122614 174730 210022 245228 306535 349460 420044 525055 613070 1050110 1226140 2100220 10606111 21212222 42424444 53030555 106061110 212122220