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20312456225 = 522973383797
BaseRepresentation
bin10010111010101101…
…110111110000100001
31221102121110200121112
4102322231313300201
5313044442044400
613155330233105
71316235012665
oct227255676041
957377420545
1020312456225
118683941006
123b2a725795
131bb9347289
14da99bc8a5
157dd3da835
hex4bab77c21

20312456225 has 24 divisors (see below), whose sum is σ = 26412978360. Its totient is φ = 15474654720.

The previous prime is 20312456207. The next prime is 20312456237. The reversal of 20312456225 is 52265421302.

It can be written as a sum of positive squares in 12 ways, for example, as 3471684241 + 16840771984 = 58921^2 + 129772^2 .

It is not a de Polignac number, because 20312456225 - 26 = 20312456161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20312456191 and 20312456200.

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 23 ways as a sum of consecutive naturals, for example, 138974 + ... + 244823.

It is an arithmetic number, because the mean of its divisors is an integer number (1100540765).

Almost surely, 220312456225 is an apocalyptic number.

20312456225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20312456225 is a deficient number, since it is larger than the sum of its proper divisors (6100522135).

20312456225 is a wasteful number, since it uses less digits than its factorization.

20312456225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383909 (or 383904 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 20312456225 its reverse (52265421302), we get a palindrome (72577877527).

The spelling of 20312456225 in words is "twenty billion, three hundred twelve million, four hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 29 73 145 365 725 1825 2117 10585 52925 383797 1918985 9594925 11130113 28017181 55650565 140085905 278252825 700429525 812498249 4062491245 20312456225