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72220317082227 = 344190132412799
BaseRepresentation
bin10000011010111100011010…
…010110000110001001110011
3100110201012021001221000120000
4100122330122112012021303
533431224202133112402
6413333320004121043
721132513532316016
oct2032743226061163
9313635231830500
1072220317082227
1121014512238756
128124946096183
13313b467863c92
1413b96a685b37d
15853939948c1c
hex41af1a586273

72220317082227 has 40 divisors (see below), whose sum is σ = 110528312294400. Its totient is φ = 46967332844160.

The previous prime is 72220317082181. The next prime is 72220317082241. The reversal of 72220317082227 is 72228071302227.

72220317082227 is a `hidden beast` number, since 72 + 220 + 317 + 0 + 8 + 22 + 27 = 666.

It is not a de Polignac number, because 72220317082227 - 211 = 72220317080179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72220317082247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28725774 + ... + 31138572.

It is an arithmetic number, because the mean of its divisors is an integer number (2763207807360).

Almost surely, 272220317082227 is an apocalyptic number.

72220317082227 is a deficient number, since it is larger than the sum of its proper divisors (38307995212173).

72220317082227 is a wasteful number, since it uses less digits than its factorization.

72220317082227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421865 (or 2421856 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 72220317082227 in words is "seventy-two trillion, two hundred twenty billion, three hundred seventeen million, eighty-two thousand, two hundred twenty-seven".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 9013 27039 81117 243351 369533 730053 1108599 2412799 3325797 7238397 9977391 21715191 29932173 65145573 98924759 195436719 296774277 890322831 2670968493 8012905479 21746557387 65239672161 195719016483 587157049449 891608852867 1761471148347 2674826558601 8024479675803 24073439027409 72220317082227