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2012419220 = 2257214332
BaseRepresentation
bin111011111110011…
…0001010010010100
312012020201111012012
41313330301102110
513110134403340
6531405043352
7100604165300
oct16774612224
95166644165
102012419220
11942a5a389
12481b56558
13260c05106
141513acd00
15bba17565
hex77f31494

2012419220 has 54 divisors (see below), whose sum is σ = 4919485662. Its totient is φ = 689490816.

The previous prime is 2012419207. The next prime is 2012419223. The reversal of 2012419220 is 229142102.

It can be written as a sum of positive squares in 3 ways, for example, as 798175504 + 1214243716 = 28252^2 + 34846^2 .

It is a super-2 number, since 2×20124192202 = 8099662234050816800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012419223) 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 17 ways as a sum of consecutive naturals, for example, 1403624 + ... + 1405056.

Almost surely, 22012419220 is an apocalyptic number.

2012419220 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 2012419220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459742831).

2012419220 is an abundant number, since it is smaller than the sum of its proper divisors (2907066442).

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

2012419220 is an equidigital number, since it uses as much as digits as its factorization.

2012419220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2012419220 is about 44859.9957646008. The cubic root of 2012419220 is about 1262.5235432658.

The spelling of 2012419220 in words is "two billion, twelve million, four hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1433 2866 5732 7165 10031 14330 20062 28660 40124 50155 70217 100310 140434 200620 280868 351085 702170 1404340 2053489 4106978 8213956 10267445 14374423 20534890 28748846 41069780 57497692 71872115 100620961 143744230 201241922 287488460 402483844 503104805 1006209610 2012419220