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227058134688 = 25357111722307
BaseRepresentation
bin1101001101110110111…
…0000010111010100000
3210201002001221100100000
43103131232002322200
512210003340302223
6252150431500000
722255466205030
oct3233556027240
9721061840300
10227058134688
1188327441290
1238009387600
1318547075968
14adbd9378c0
155d8db8e543
hex34ddb82ea0

227058134688 has 576 divisors, whose sum is σ = 883987872768. Its totient is φ = 55504465920.

The previous prime is 227058134669. The next prime is 227058134689. The reversal of 227058134688 is 886431850722.

227058134688 is a `hidden beast` number, since 2 + 27 + 0 + 581 + 34 + 6 + 8 + 8 = 666.

227058134688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (227058134689) 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, 10167631 + ... + 10189937.

It is an arithmetic number, because the mean of its divisors is an integer number (1534701168).

Almost surely, 2227058134688 is an apocalyptic number.

227058134688 is a gapful number since it is divisible by the number (28) 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 227058134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441993936384).

227058134688 is an abundant number, since it is smaller than the sum of its proper divisors (656929738080).

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

227058134688 is a wasteful number, since it uses less digits than its factorization.

227058134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22367 (or 22347 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 227058134688 in words is "two hundred twenty-seven billion, fifty-eight million, one hundred thirty-four thousand, six hundred eighty-eight".