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8270226096 = 2431121783761
BaseRepresentation
bin1111011001111000…
…11010001010110000
3210100100220000102020
413230330122022300
5113414134213341
63444351351440
7411641522226
oct75474321260
923310800366
108270226096
113564366300
121729822580
13a1a517b12
1458652ab16
153360c7566
hex1ecf1a2b0

8270226096 has 120 divisors (see below), whose sum is σ = 24865252272. Its totient is φ = 2358681600.

The previous prime is 8270226067. The next prime is 8270226101. The reversal of 8270226096 is 6906220728.

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 23 ways as a sum of consecutive naturals, for example, 56856 + ... + 140616.

Almost surely, 28270226096 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 8270226096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432626136).

8270226096 is an abundant number, since it is smaller than the sum of its proper divisors (16595026176).

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

8270226096 is a wasteful number, since it uses less digits than its factorization.

8270226096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83811 (or 83794 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 8270226096 is about 90940.7834582483. The cubic root of 8270226096 is about 2022.2699456935.

The spelling of 8270226096 in words is "eight billion, two hundred seventy million, two hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 121 132 136 176 187 204 242 264 272 363 374 408 484 528 561 726 748 816 968 1122 1452 1496 1936 2057 2244 2904 2992 4114 4488 5808 6171 8228 8976 12342 16456 24684 32912 49368 83761 98736 167522 251283 335044 502566 670088 921371 1005132 1340176 1423937 1842742 2010264 2764113 2847874 3685484 4020528 4271811 5528226 5695748 7370968 8543622 10135081 11056452 11391496 14741936 15663307 17087244 20270162 22112904 22782992 30405243 31326614 34174488 40540324 44225808 46989921 60810486 62653228 68348976 81080648 93979842 121620972 125306456 162161296 172296377 187959684 243241944 250612912 344592754 375919368 486483888 516889131 689185508 751838736 1033778262 1378371016 2067556524 2756742032 4135113048 8270226096