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225966787312 = 24721032798281
BaseRepresentation
bin1101001001110010101…
…0111000101011110000
3210121021000101011011211
43102130222320223300
512200234444143222
6251450244245504
722216445000200
oct3223452705360
9717230334154
10225966787312
11879173a6902
12379639a0894
1318401c34496
14ad18a0c400
155d27e67277
hex349cab8af0

225966787312 has 60 divisors (see below), whose sum is σ = 514234686576. Its totient is φ = 95902652160.

The previous prime is 225966787301. The next prime is 225966787327. The reversal of 225966787312 is 213787669522.

It is a happy number.

225966787312 is digitally balanced in base 2, 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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1318389 + ... + 1479892.

Almost surely, 2225966787312 is an apocalyptic number.

It is an amenable number.

225966787312 is an abundant number, since it is smaller than the sum of its proper divisors (288267899264).

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

225966787312 is a wasteful number, since it uses less digits than its factorization.

225966787312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798406 (or 2798393 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 58.

The spelling of 225966787312 in words is "two hundred twenty-five billion, nine hundred sixty-six million, seven hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 103 112 196 206 392 412 721 784 824 1442 1648 2884 5047 5768 10094 11536 20188 40376 80752 2798281 5596562 11193124 19587967 22386248 39175934 44772496 78351868 137115769 156703736 274231538 288222943 313407472 548463076 576445886 1096926152 1152891772 2017560601 2193852304 2305783544 4035121202 4611567088 8070242404 14122924207 16140484808 28245848414 32280969616 56491696828 112983393656 225966787312