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2002345220 = 225100117261
BaseRepresentation
bin111011101011001…
…0101110100000100
312011112202200021002
41313112111310010
513100100021340
6530405112432
7100422440111
oct16726256404
95145680232
102002345220
119382a9667
1247a6b8718
1325bab8975
1414dd09908
15babc7715
hex77595d04

2002345220 has 12 divisors (see below), whose sum is σ = 4204925004. Its totient is φ = 800938080.

The previous prime is 2002345217. The next prime is 2002345259. The reversal of 2002345220 is 225432002.

2002345220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 586027264 + 1416317956 = 24208^2 + 37634^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 100117261 = 2002345220 / (2 + 0 + 0 + 2 + 3 + 4 + 5 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2002345192 and 2002345201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50058611 + ... + 50058650.

It is an arithmetic number, because the mean of its divisors is an integer number (350410417).

Almost surely, 22002345220 is an apocalyptic number.

2002345220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002345220 is an abundant number, since it is smaller than the sum of its proper divisors (2202579784).

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

2002345220 is a wasteful number, since it uses less digits than its factorization.

2002345220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100117270 (or 100117268 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2002345220 is about 44747.5722246470. The cubic root of 2002345220 is about 1260.4133228710.

Adding to 2002345220 its reverse (225432002), we get a palindrome (2227777222).

The spelling of 2002345220 in words is "two billion, two million, three hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 100117261 200234522 400469044 500586305 1001172610 2002345220