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228389120954496 = 2734241347263411
BaseRepresentation
bin110011111011011111111100…
…011011001101000010000000
31002221122210020112012120020000
4303323133330123031002000
5214413411404431020441
62125424302544120000
766051366220032105
oct6373377433150200
91087583215176200
10228389120954496
1166854311761017
1221747412606000
139a59003949c68
1440581418daaac
151b60dd26382b6
hexcfb7fc6cd080

228389120954496 has 320 divisors, whose sum is σ = 684472046528160. Its totient is φ = 75595045478400.

The previous prime is 228389120954473. The next prime is 228389120954563. The reversal of 228389120954496 is 694459021983822.

228389120954496 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 8 + 9 + 120 + 9 + 5 + 4 + 496 = 666.

It is a super-2 number, since 2×2283891209544962 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 866913031 + ... + 867176441.

Almost surely, 2228389120954496 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 228389120954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342236023264080).

228389120954496 is an abundant number, since it is smaller than the sum of its proper divisors (456082925573664).

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

228389120954496 is a wasteful number, since it uses less digits than its factorization.

228389120954496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264025 (or 264004 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 228389120954496 in words is "two hundred twenty-eight trillion, three hundred eighty-nine billion, one hundred twenty million, nine hundred fifty-four thousand, four hundred ninety-six".