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422323525323225 = 32525377894546793
BaseRepresentation
bin110000000000110011101101…
…1101101010000100111011001
32001101022201211121112202002100
41200001213123231100213121
5420323322034440320400
64054112425452354013
7154645603441231101
oct14001473355204731
92041281747482070
10422323525323225
111126244461032a9
123b449166175909
1315185c25a64046
1476407d3a50201
1533c590db2c100
hex18019dbb509d9

422323525323225 has 72 divisors (see below), whose sum is σ = 770799708708120. Its totient is φ = 220960996439040.

The previous prime is 422323525323197. The next prime is 422323525323289. The reversal of 422323525323225 is 522323525323224.

422323525323225 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 2 + 352 + 53 + 23 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 433972224 + 422323091351001 = 20832^2 + 20550501^2 .

It is not a de Polignac number, because 422323525323225 - 27 = 422323525323097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90610429 + ... + 95157221.

It is an arithmetic number, because the mean of its divisors is an integer number (10705551509835).

Almost surely, 2422323525323225 is an apocalyptic number.

422323525323225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422323525323225 is a deficient number, since it is larger than the sum of its proper divisors (348476183384895).

422323525323225 is a wasteful number, since it uses less digits than its factorization.

422323525323225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554651 (or 4554643 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 45.

Subtracting 422323525323225 from its reverse (522323525323224), we obtain a palindrome (99999999999999).

The spelling of 422323525323225 in words is "four hundred twenty-two trillion, three hundred twenty-three billion, five hundred twenty-five million, three hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 1325 2385 3975 7789 11925 23367 38945 70101 116835 194725 350505 412817 584175 1238451 1752525 2064085 3715353 4546793 6192255 10320425 13640379 18576765 22733965 30961275 40921137 68201895 92883825 113669825 204605685 240980029 341009475 722940087 1023028425 1204900145 2168820261 3614700435 6024500725 10844101305 18073502175 35414970677 54220506525 106244912031 177074853385 318734736093 531224560155 885374266925 1593673680465 1876993445881 2656122800775 5630980337643 7968368402325 9384967229405 16892941012929 28154901688215 46924836147025 84464705064645 140774508441075 422323525323225