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225603631755 = 3351999835987
BaseRepresentation
bin1101001000011100000…
…1100011101010001011
3210120022201000221102000
43102013001203222023
512144014012204010
6251350232442043
722204445141505
oct3220701435213
9716281027360
10225603631755
1187750406747
1237882249323
1318374923338
14acc26b8d75
155d061307c0
hex3487063a8b

225603631755 has 32 divisors (see below), whose sum is σ = 401274240000. Its totient is φ = 120261602016.

The previous prime is 225603631709. The next prime is 225603631787. The reversal of 225603631755 is 557136306522.

225603631755 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 0 + 3 + 631 + 7 + 5 + 5 = 666.

It is not a de Polignac number, because 225603631755 - 210 = 225603630731 is a prime.

It is a super-2 number, since 2×2256036317552 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225603631755.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 148129 + ... + 687858.

It is an arithmetic number, because the mean of its divisors is an integer number (12539820000).

Almost surely, 2225603631755 is an apocalyptic number.

225603631755 is a deficient number, since it is larger than the sum of its proper divisors (175670608245).

225603631755 is a wasteful number, since it uses less digits than its factorization.

225603631755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838000 (or 837994 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 225603631755 in words is "two hundred twenty-five billion, six hundred three million, six hundred thirty-one thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 1999 5997 9995 17991 29985 53973 89955 269865 835987 2507961 4179935 7523883 12539805 22571649 37619415 112858245 1671138013 5013414039 8355690065 15040242117 25067070195 45120726351 75201210585 225603631755