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2000185002 = 2364632963
BaseRepresentation
bin111011100111000…
…0110011010101010
312011101200221000000
41313032012122222
513044021410002
6530250523430
7100365202104
oct16716063252
95141627000
102000185002
11937063662
12479a36576
1325b51062a
1414d906574
15ba8ec61c
hex773866aa

2000185002 has 56 divisors (see below), whose sum is σ = 4509595584. Its totient is φ = 665063784.

The previous prime is 2000184983. The next prime is 2000185003. The reversal of 2000185002 is 2005810002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2000185003) 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 27 ways as a sum of consecutive naturals, for example, 673573 + ... + 676535.

It is a vampire number, since it can be written as 2500280001 (with its own digits).

Almost surely, 22000185002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000185002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254797792).

2000185002 is an abundant number, since it is smaller than the sum of its proper divisors (2509410582).

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

2000185002 is an equidigital number, since it uses as much as digits as its factorization.

2000185002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2000185002 is about 44723.4278874059. The cubic root of 2000185002 is about 1259.9598966828.

Adding to 2000185002 its reverse (2005810002), we get a palindrome (4005995004).

The spelling of 2000185002 in words is "two billion, one hundred eighty-five thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 463 486 729 926 1389 1458 2778 2963 4167 5926 8334 8889 12501 17778 25002 26667 37503 53334 75006 80001 112509 160002 225018 240003 337527 480006 675054 720009 1371869 1440018 2160027 2743738 4115607 4320054 8231214 12346821 24693642 37040463 74080926 111121389 222242778 333364167 666728334 1000092501 2000185002