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2004540225 = 352411913413
BaseRepresentation
bin111011101111010…
…1101101101000001
312011200220012020120
41313132231231001
513101130241400
6530524130453
7100450211412
oct16736555501
95150805216
102004540225
11939568816
1247b396a29
1325c3a6a9c
1415031b809
15baeacca0
hex777adb41

2004540225 has 48 divisors (see below), whose sum is σ = 3413781504. Its totient is φ = 1037248000.

The previous prime is 2004540217. The next prime is 2004540257. The reversal of 2004540225 is 5220454002.

It is a happy number.

It is not a de Polignac number, because 2004540225 - 23 = 2004540217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2004540195 and 2004540204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585619 + ... + 589031.

It is an arithmetic number, because the mean of its divisors is an integer number (71120448).

Almost surely, 22004540225 is an apocalyptic number.

2004540225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2004540225 is a deficient number, since it is larger than the sum of its proper divisors (1409241279).

2004540225 is a wasteful number, since it uses less digits than its factorization.

2004540225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2004540225 is about 44772.0920328724. The cubic root of 2004540225 is about 1260.8737168792.

Adding to 2004540225 its reverse (5220454002), we get a palindrome (7224994227).

The spelling of 2004540225 in words is "two billion, four million, five hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 191 205 573 615 955 1025 2865 3075 3413 4775 7831 10239 14325 17065 23493 39155 51195 85325 117465 139933 195775 255975 419799 587325 651883 699665 1955649 2098995 3259415 3498325 9778245 10494975 16297075 26727203 48891225 80181609 133636015 400908045 668180075 2004540225