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226463521225 = 5264114131889
BaseRepresentation
bin1101001011101001000…
…1110001100111001001
3210122112122001212000011
43102322101301213021
512202244130134400
6252011431111521
722234656112054
oct3227221614711
9718478055004
10226463521225
11880518323a7
1237a822125a1
1318480b14a86
14ad64993a9b
155d568878ba
hex34ba4719c9

226463521225 has 12 divisors (see below), whose sum is σ = 281252874780. Its totient is φ = 180888166400.

The previous prime is 226463521199. The next prime is 226463521237. The reversal of 226463521225 is 522125364622.

226463521225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19740531001 + 206722990224 = 140501^2 + 454668^2 .

It is not a de Polignac number, because 226463521225 - 225 = 226429966793 is a prime.

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 11 ways as a sum of consecutive naturals, for example, 7049920 + ... + 7081969.

It is an arithmetic number, because the mean of its divisors is an integer number (23437739565).

Almost surely, 2226463521225 is an apocalyptic number.

226463521225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226463521225 is a deficient number, since it is larger than the sum of its proper divisors (54789353555).

226463521225 is a wasteful number, since it uses less digits than its factorization.

226463521225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14132540 (or 14132535 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

Adding to 226463521225 its reverse (522125364622), we get a palindrome (748588885847).

The spelling of 226463521225 in words is "two hundred twenty-six billion, four hundred sixty-three million, five hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 641 3205 16025 14131889 70659445 353297225 9058540849 45292704245 226463521225