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227085109632 = 27368232957
BaseRepresentation
bin1101001101111101010…
…0111100100110000000
3210201010221200211000000
43103133110330212000
512210032242002012
6252153234000000
722256244404133
oct3233724744600
9721127624000
10227085109632
1188340695a27
1238016416000
131854c82ba74
14adc335a21a
155d9121bddc
hex34df53c980

227085109632 has 224 divisors, whose sum is σ = 679337711280. Its totient is φ = 75577494528.

The previous prime is 227085109597. The next prime is 227085109637. The reversal of 227085109632 is 236901580722.

227085109632 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 8 + 5 + 1 + 0 + 9 + 632 = 666.

227085109632 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 (227085109637) 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 27 ways as a sum of consecutive naturals, for example, 76794298 + ... + 76797254.

Almost surely, 2227085109632 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 227085109632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339668855640).

227085109632 is an abundant number, since it is smaller than the sum of its proper divisors (452252601648).

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

227085109632 is an frugal number, since it uses more digits than its factorization.

227085109632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 227085109632 in words is "two hundred twenty-seven billion, eighty-five million, one hundred nine thousand, six hundred thirty-two".