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228781743208704 = 28327173767463727
BaseRepresentation
bin110100000001001101100110…
…100010001111100100000000
31010000001022200001020121121200
4310001031212202033210000
5214441330002230134304
62130324514253421200
766121635605110140
oct6401154642174400
91100038601217550
10228781743208704
1166995879793844
12217ab526a9a800
139a8704493323a
14406d149cd2920
151b6b21149ce39
hexd0136688f900

228781743208704 has 1728 divisors, whose sum is σ = 834965658648576. Its totient is φ = 58756712103936.

The previous prime is 228781743208673. The next prime is 228781743208717. The reversal of 228781743208704 is 407802347187822.

228781743208704 is a `hidden beast` number, since 2 + 2 + 8 + 78 + 174 + 320 + 8 + 70 + 4 = 666.

It is a super-2 number, since 2×2287817432087042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 314692906389 + ... + 314692907115.

Almost surely, 2228781743208704 is an apocalyptic number.

228781743208704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228781743208704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417482829324288).

228781743208704 is an abundant number, since it is smaller than the sum of its proper divisors (606183915439872).

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

228781743208704 is a wasteful number, since it uses less digits than its factorization.

228781743208704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 228781743208704 in words is "two hundred twenty-eight trillion, seven hundred eighty-one billion, seven hundred forty-three million, two hundred eight thousand, seven hundred four".