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225645897216 = 293781718793
BaseRepresentation
bin1101001000100110001…
…0110010011000000000
3210120102122120020201110
43102021202302120000
512144110322202331
6251354342403320
722205500323435
oct3221142623000
9716378506643
10225645897216
1187772254383
1237894430540
131838060109c
14acc815bb8c
155d09bcd946
hex34898b2600

225645897216 has 80 divisors (see below), whose sum is σ = 601243665264. Its totient is φ = 75201675264.

The previous prime is 225645897199. The next prime is 225645897251. The reversal of 225645897216 is 612798546522.

225645897216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11997516 + ... + 12016308.

Almost surely, 2225645897216 is an apocalyptic number.

It is an amenable number.

225645897216 is an abundant number, since it is smaller than the sum of its proper divisors (375597768048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225645897216 is an equidigital number, since it uses as much as digits as its factorization.

225645897216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26631 (or 26615 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 225645897216 in words is "two hundred twenty-five billion, six hundred forty-five million, eight hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 7817 15634 18793 23451 31268 37586 46902 56379 62536 75172 93804 112758 125072 150344 187608 225516 250144 300688 375216 451032 500288 601376 750432 902064 1000576 1202752 1500864 1804128 2001152 2405504 3001728 3608256 4002304 4811008 6003456 7216512 9622016 12006912 14433024 28866048 146904881 293809762 440714643 587619524 881429286 1175239048 1762858572 2350478096 3525717144 4700956192 7051434288 9401912384 14102868576 18803824768 28205737152 37607649536 56411474304 75215299072 112822948608 225645897216