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226355391794208 = 25313759928732421
BaseRepresentation
bin110011011101111001111000…
…101110001000110000100000
31002200110100211102222211200010
4303131321320232020300200
5214132101320244403313
62121230121554124520
765451431423300535
oct6335717056106040
91080410742884603
10226355391794208
116613a86765a956
1221479236880740
13993c2b655a1a1
143dc7933630d8c
151b2805345a4c3
hexcdde78b88c20

226355391794208 has 96 divisors (see below), whose sum is σ = 599519224483200. Its totient is φ = 74776008120320.

The previous prime is 226355391794123. The next prime is 226355391794209. The reversal of 226355391794208 is 802497193553622.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (226355391794209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6488163 + ... + 22244258.

It is an arithmetic number, because the mean of its divisors is an integer number (6244991921700).

It is a 1-persistent number, because it is pandigital, but 2⋅226355391794208 = 452710783588416 is not.

Almost surely, 2226355391794208 is an apocalyptic number.

It is an amenable number.

226355391794208 is an abundant number, since it is smaller than the sum of its proper divisors (373163832688992).

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

226355391794208 is a wasteful number, since it uses less digits than its factorization.

226355391794208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28733170 (or 28733162 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 226355391794208 in words is "two hundred twenty-six trillion, three hundred fifty-five billion, three hundred ninety-one million, seven hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 599 822 1096 1198 1644 1797 2192 2396 3288 3594 4384 4792 6576 7188 9584 13152 14376 19168 28752 57504 82063 164126 246189 328252 492378 656504 984756 1313008 1969512 2626016 3939024 7878048 28732421 57464842 86197263 114929684 172394526 229859368 344789052 459718736 689578104 919437472 1379156208 2758312416 3936341677 7872683354 11809025031 15745366708 17210720179 23618050062 31490733416 34421440358 47236100124 51632160537 62981466832 68842880716 94472200248 103264321074 125962933664 137685761432 188944400496 206528642148 275371522864 377888800992 413057284296 550743045728 826114568592 1652229137184 2357868664523 4715737329046 7073605993569 9431474658092 14147211987138 18862949316184 28294423974276 37725898632368 56588847948552 75451797264736 113177695897104 226355391794208