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2112112220 = 225105605611
BaseRepresentation
bin111110111100100…
…0100011001011100
312110012022102021112
41331321010121130
513311200042340
6545325521152
7103224441401
oct17571043134
95405272245
102112112220
11994261199
124ab4131b8
1327876bc5a
141607202a8
15c565b065
hex7de4465c

2112112220 has 12 divisors (see below), whose sum is σ = 4435435704. Its totient is φ = 844844880.

The previous prime is 2112112217. The next prime is 2112112229. The reversal of 2112112220 is 222112112.

It is a super-2 number, since 2×21121122202 = 8922036059746656800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112112195 and 2112112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52802786 + ... + 52802825.

It is an arithmetic number, because the mean of its divisors is an integer number (369619642).

Almost surely, 22112112220 is an apocalyptic number.

2112112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112112220 is an abundant number, since it is smaller than the sum of its proper divisors (2323323484).

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

2112112220 is a wasteful number, since it uses less digits than its factorization.

2112112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105605620 (or 105605618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2112112220 is about 45957.7220932457. The cubic root of 2112112220 is about 1283.0364556806.

Adding to 2112112220 its reverse (222112112), we get a palindrome (2334224332).

The spelling of 2112112220 in words is "two billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 105605611 211211222 422422444 528028055 1056056110 2112112220