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2002000437 = 32269382601
BaseRepresentation
bin111011101010100…
…0001101000110101
312011112010011022100
41313111001220311
513100003003222
6530353452313
7100416502653
oct16725015065
95145104270
102002000437
11938093618
1247a571099
1325b9c7a58
1414dc59dd3
15bab5a4ac
hex77541a35

2002000437 has 12 divisors (see below), whose sum is σ = 2892887244. Its totient is φ = 1334155200.

The previous prime is 2002000423. The next prime is 2002000453. The reversal of 2002000437 is 7340002002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 683874801 + 1318125636 = 26151^2 + 36306^2 .

It is not a de Polignac number, because 2002000437 - 27 = 2002000309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17064 + ... + 65537.

It is an arithmetic number, because the mean of its divisors is an integer number (241073937).

Almost surely, 22002000437 is an apocalyptic number.

It is an amenable number.

2002000437 is a deficient number, since it is larger than the sum of its proper divisors (890886807).

2002000437 is a wasteful number, since it uses less digits than its factorization.

2002000437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85300 (or 85297 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2002000437 is about 44743.7195257614. The cubic root of 2002000437 is about 1260.3409753678.

Adding to 2002000437 its reverse (7340002002), we get a palindrome (9342002439).

The spelling of 2002000437 in words is "two billion, two million, four hundred thirty-seven", and thus it is an aban number.

Divisors: 1 3 9 2693 8079 24237 82601 247803 743409 222444493 667333479 2002000437