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228371683806 = 2327139191233293
BaseRepresentation
bin1101010010110000000…
…0110101100111011110
3210211110121121112222100
43110230000311213132
512220201122340211
6252525033425530
722333156166220
oct3245400654736
9724417545870
10228371683806
1188940953172
123831526b2a6
13186c6245a66
14b0a6184410
155e19159156
hex352c0359de

228371683806 has 192 divisors, whose sum is σ = 576961781760. Its totient is φ = 63944916480.

The previous prime is 228371683801. The next prime is 228371683843. The reversal of 228371683806 is 608386173822.

228371683806 is a `hidden beast` number, since 22 + 83 + 7 + 168 + 380 + 6 = 666.

228371683806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228371683801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 779425396 + ... + 779425688.

It is an arithmetic number, because the mean of its divisors is an integer number (3005009280).

Almost surely, 2228371683806 is an apocalyptic number.

It is a pronic number, being equal to 477882×477883.

It is a practical number, because each smaller number is the sum of distinct divisors of 228371683806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288480890880).

228371683806 is an abundant number, since it is smaller than the sum of its proper divisors (348590097954).

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

228371683806 is a wasteful number, since it uses less digits than its factorization.

228371683806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 228371683806 in words is "two hundred twenty-eight billion, three hundred seventy-one million, six hundred eighty-three thousand, eight hundred six".