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2004523300 = 2252131541941
BaseRepresentation
bin111011101111010…
…1001100100100100
312011200212100000201
41313132221210210
513101124221200
6530523520244
7100450111153
oct16736514444
95150770021
102004523300
1193955702a
1247b389084
1325c39c180
1415031559a
15baea7c6a
hex777a9924

2004523300 has 36 divisors (see below), whose sum is σ = 4684419796. Its totient is φ = 740131200.

The previous prime is 2004523291. The next prime is 2004523331. The reversal of 2004523300 is 33254002.

It can be written as a sum of positive squares in 6 ways, for example, as 58125376 + 1946397924 = 7624^2 + 44118^2 .

It is a super-2 number, since 2×20045233002 = 8036227320485780000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 769671 + ... + 772270.

Almost surely, 22004523300 is an apocalyptic number.

2004523300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004523300 is an abundant number, since it is smaller than the sum of its proper divisors (2679896496).

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

2004523300 is a wasteful number, since it uses less digits than its factorization.

2004523300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541968 (or 1541961 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 2004523300 is about 44771.9030196394. The cubic root of 2004523300 is about 1260.8701682104.

Adding to 2004523300 its reverse (33254002), we get a palindrome (2037777302).

The spelling of 2004523300 in words is "two billion, four million, five hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1541941 3083882 6167764 7709705 15419410 20045233 30838820 38548525 40090466 77097050 80180932 100226165 154194100 200452330 400904660 501130825 1002261650 2004523300