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10233240225 = 3521341281911
BaseRepresentation
bin10011000011111001…
…01101101010100001
3222102011122110120020
421201330231222201
5131424202141400
64411233504053
7511406051415
oct114174555241
928364573506
1010233240225
11438144092a
121b97112029
13c71112540
146d1118d45
153ed5d12a0
hex261f2daa1

10233240225 has 96 divisors (see below), whose sum is σ = 18751799808. Its totient is φ = 4892160000.

The previous prime is 10233240223. The next prime is 10233240239. The reversal of 10233240225 is 52204233201.

10233240225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10233240225 - 21 = 10233240223 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10233240195 and 10233240204.

It is not an unprimeable number, because it can be changed into a prime (10233240223) 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 95 ways as a sum of consecutive naturals, for example, 11232520 + ... + 11233430.

It is an arithmetic number, because the mean of its divisors is an integer number (195331248).

Almost surely, 210233240225 is an apocalyptic number.

10233240225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10233240225 is a deficient number, since it is larger than the sum of its proper divisors (8518559583).

10233240225 is a wasteful number, since it uses less digits than its factorization.

10233240225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 10233240225 its reverse (52204233201), we get a palindrome (62437473426).

The spelling of 10233240225 in words is "ten billion, two hundred thirty-three million, two hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 41 65 75 123 195 205 281 325 533 615 843 911 975 1025 1405 1599 2665 2733 3075 3653 4215 4555 7025 7995 10959 11521 11843 13325 13665 18265 21075 22775 34563 35529 37351 39975 54795 57605 59215 68325 91325 112053 149773 172815 177645 186755 255991 273975 288025 296075 449319 485563 560265 748865 767973 864075 888225 933775 1279955 1456689 2246595 2427815 2801325 3327883 3744325 3839865 6399775 7283445 9983649 10495631 11232975 12139075 16639415 19199325 31486893 36417225 49918245 52478155 83197075 136443203 157434465 249591225 262390775 409329609 682216015 787172325 2046648045 3411080075 10233240225