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8230550328 = 233271113114199
BaseRepresentation
bin1111010101001010…
…00011101100111000
3210020121020021111100
413222211003230320
5113324010102303
63440413131400
7410650344360
oct75245035470
923217207440
108230550328
113543a27310
121718489b60
13a12235a30
1458115d9a0
1533288b8a3
hex1ea943b38

8230550328 has 192 divisors, whose sum is σ = 29929536000. Its totient is φ = 1973341440.

The previous prime is 8230550309. The next prime is 8230550329.

8230550328 is a `hidden beast` number, since 82 + 3 + 0 + 550 + 3 + 28 = 666.

8230550328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8230550292 and 8230550301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230550329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14973 + ... + 129171.

It is an arithmetic number, because the mean of its divisors is an integer number (155883000).

Almost surely, 28230550328 is an apocalyptic number.

8230550328 is a gapful number since it is divisible by the number (88) 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 8230550328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964768000).

8230550328 is an abundant number, since it is smaller than the sum of its proper divisors (21698985672).

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

8230550328 is a wasteful number, since it uses less digits than its factorization.

8230550328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114242 (or 114235 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8230550328 is about 90722.3805243227. The cubic root of 8230550328 is about 2019.0308660289.

The spelling of 8230550328 in words is "eight billion, two hundred thirty million, five hundred fifty thousand, three hundred twenty-eight".