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228796359968 = 2511276872
BaseRepresentation
bin1101010100010101010…
…0110110010100100000
3210212120012201100011002
43111011110312110200
512222033332004333
6253035124011132
722346533654151
oct3250524662440
9725505640132
10228796359968
1189039642700
1238413530aa8
1318763217027
14b10672d928
155e415940e8
hex3545536520

228796359968 has 54 divisors (see below), whose sum is σ = 495179268003. Its totient is φ = 103984816320.

The previous prime is 228796359917. The next prime is 228796360007. The reversal of 228796359968 is 869953697822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 114398179984 + 114398179984 = 338228^2 + 338228^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338228.

It is a super-2 number, since 2×2287963599682 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 228796359895 and 228796359904.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29760221 + ... + 29767907.

Almost surely, 2228796359968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228796359968

228796359968 is an abundant number, since it is smaller than the sum of its proper divisors (266382908035).

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

228796359968 is an frugal number, since it uses more digits than its factorization.

228796359968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15406 (or 7700 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 74.

The spelling of 228796359968 in words is "two hundred twenty-eight billion, seven hundred ninety-six million, three hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 7687 15374 30748 61496 84557 122992 169114 245984 338228 676456 930127 1352912 1860254 2705824 3720508 7441016 14882032 29764064 59089969 118179938 236359876 472719752 649989659 945439504 1299979318 1890879008 2599958636 5199917272 7149886249 10399834544 14299772498 20799669088 28599544996 57199089992 114398179984 228796359968