Search a number
-
+
230391511812 = 223472113142557
BaseRepresentation
bin1101011010010001100…
…1110111101100000100
3211000200101021110010000
43112210121313230010
512233320211334222
6253501305401300
722434213352500
oct3264431675404
9730611243100
10230391511812
1189788002910
1238799799230
1318958843167
14b218521300
155ed66369ac
hex35a4677b04

230391511812 has 360 divisors, whose sum is σ = 788988549888. Its totient is φ = 57910204800.

The previous prime is 230391511799. The next prime is 230391511813. The reversal of 230391511812 is 218115193032.

230391511812 is a `hidden beast` number, since 2 + 30 + 39 + 1 + 511 + 81 + 2 = 666.

230391511812 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 (36).

It is not an unprimeable number, because it can be changed into a prime (230391511813) 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 119 ways as a sum of consecutive naturals, for example, 5392438 + ... + 5434994.

Almost surely, 2230391511812 is an apocalyptic number.

230391511812 is a gapful number since it is divisible by the number (22) 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 230391511812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394494274944).

230391511812 is an abundant number, since it is smaller than the sum of its proper divisors (558597038076).

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

230391511812 is a wasteful number, since it uses less digits than its factorization.

230391511812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42629 (or 42611 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 230391511812 in words is "two hundred thirty billion, three hundred ninety-one million, five hundred eleven thousand, eight hundred twelve".