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4630305225 = 3527213195101
BaseRepresentation
bin1000100111111110…
…01101100111001001
3102221200201212200010
410103333031213021
533440324231400
62043243302133
7222512642100
oct42377154711
912850655603
104630305225
111a66760937
12a9281a949
1358a39b1a0
1431cd49037
151c177c450
hex113fcd9c9

4630305225 has 144 divisors (see below), whose sum is σ = 10097062080. Its totient is φ = 1850688000.

The previous prime is 4630305217. The next prime is 4630305227. The reversal of 4630305225 is 5225030364.

It is not a de Polignac number, because 4630305225 - 23 = 4630305217 is a prime.

It is a super-3 number, since 3×46303052253 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4630305192 and 4630305201.

It is not an unprimeable number, because it can be changed into a prime (4630305227) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 905175 + ... + 910275.

Almost surely, 24630305225 is an apocalyptic number.

It is an amenable number.

4630305225 is an abundant number, since it is smaller than the sum of its proper divisors (5466756855).

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

4630305225 is a wasteful number, since it uses less digits than its factorization.

4630305225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 4630305225 is about 68046.3461546614. The cubic root of 4630305225 is about 1666.7477341679.

Adding to 4630305225 its reverse (5225030364), we get a palindrome (9855335589).

The spelling of 4630305225 in words is "four billion, six hundred thirty million, three hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 19 21 25 35 39 49 57 65 75 91 95 105 133 147 175 195 245 247 273 285 325 399 455 475 525 637 665 735 741 931 975 1225 1235 1365 1425 1729 1911 1995 2275 2793 3185 3325 3675 3705 4655 5101 5187 6175 6825 8645 9555 9975 12103 13965 15303 15925 18525 23275 25505 25935 35707 36309 43225 47775 60515 66313 69825 76515 96919 107121 127525 129675 178535 181545 198939 249949 290757 302575 331565 382575 464191 484595 535605 678433 749847 892675 907725 994695 1249745 1259947 1392573 1453785 1657825 2035299 2320955 2422975 2678025 3249337 3392165 3749235 3779841 4749031 4973475 6248725 6299735 6962865 7268925 8819629 9748011 10176495 11604775 14247093 16246685 16960825 18746175 18899205 23745155 26458887 31498675 34814325 44098145 48740055 50882475 61737403 71235465 81233425 94496025 118725775 132294435 185212209 220490725 243700275 308687015 356177325 661472175 926061045 1543435075 4630305225