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230827931712 = 263579472239
BaseRepresentation
bin1101011011111001101…
…0101011100001000000
3211001210210110212200000
43112332122223201000
512240213422303322
6254012455400000
722451063021640
oct3267632534100
9731723425600
10230827931712
1189991393614
123889b983000
13189c80968a1
14b25a486520
15600eae13ac
hex35be6ab840

230827931712 has 336 divisors, whose sum is σ = 785328660480. Its totient is φ = 65851771392.

The previous prime is 230827931707. The next prime is 230827931717. The reversal of 230827931712 is 217139728032.

230827931712 is a `hidden beast` number, since 2 + 308 + 27 + 9 + 317 + 1 + 2 = 666.

230827931712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230827931707) and next prime (230827931717).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (230827931717) 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 47 ways as a sum of consecutive naturals, for example, 103093089 + ... + 103095327.

It is an arithmetic number, because the mean of its divisors is an integer number (2337287680).

Almost surely, 2230827931712 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 230827931712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392664330240).

230827931712 is an abundant number, since it is smaller than the sum of its proper divisors (554500728768).

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

230827931712 is an equidigital number, since it uses as much as digits as its factorization.

230827931712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 230827931712 in words is "two hundred thirty billion, eight hundred twenty-seven million, nine hundred thirty-one thousand, seven hundred twelve".