Search a number
-
+
230282880 = 2735315373
BaseRepresentation
bin11011011100111…
…01011010000000
3121001022120201120
431232131122000
5432423023010
634503432240
75464241442
oct1556353200
9531276646
10230282880
11108a96a33
1265155680
133892ac79
1422826492
151533be70
hexdb9d680

230282880 has 256 divisors, whose sum is σ = 782576640. Its totient is φ = 57507840.

The previous prime is 230282879. The next prime is 230282887. The reversal of 230282880 is 88282032.

230282880 is digitally balanced in base 2 and base 3, because in such bases 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 (230282887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3154524 + ... + 3154596.

It is an arithmetic number, because the mean of its divisors is an integer number (3056940).

Almost surely, 2230282880 is an apocalyptic number.

230282880 is a gapful number since it is divisible by the number (20) 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 230282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391288320).

230282880 is an abundant number, since it is smaller than the sum of its proper divisors (552293760).

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

230282880 is a wasteful number, since it uses less digits than its factorization.

230282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 230282880 is about 15175.0742996534. The cubic root of 230282880 is about 612.9436508076.

The spelling of 230282880 in words is "two hundred thirty million, two hundred eighty-two thousand, eight hundred eighty".