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20212020 = 22325112289
BaseRepresentation
bin100110100011…
…0100100110100
31102000212200100
41031012210310
520133241040
62001114100
7333541113
oct115064464
942025610
1020212020
1110455654
126928930
134258a9a
142981c7a
151b93b30
hex1346934

20212020 has 36 divisors (see below), whose sum is σ = 61310340. Its totient is φ = 5389824.

The previous prime is 20212013. The next prime is 20212033. The reversal of 20212020 is 2021202.

It can be written as a sum of positive squares in 2 ways, for example, as 15776784 + 4435236 = 3972^2 + 2106^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20211993 and 20212011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55965 + ... + 56324.

It is an arithmetic number, because the mean of its divisors is an integer number (1703065).

Almost surely, 220212020 is an apocalyptic number.

20212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212020 is an abundant number, since it is smaller than the sum of its proper divisors (41098320).

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

20212020 is a wasteful number, since it uses less digits than its factorization.

20212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112304 (or 112299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20212020 is about 4495.7780194311. The cubic root of 20212020 is about 272.3975767475.

Adding to 20212020 its reverse (2021202), we get a palindrome (22233222).

The spelling of 20212020 in words is "twenty million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 112289 224578 336867 449156 561445 673734 1010601 1122890 1347468 1684335 2021202 2245780 3368670 4042404 5053005 6737340 10106010 20212020