Search a number
-
+
230128128 = 293431179
BaseRepresentation
bin11011011011101…
…11101000000000
3121001000201110000
431231313220000
5432403100003
634500240000
75463025326
oct1555675000
9531021400
10230128128
111089a073a
12650a0000
13388a56b9
14227c5d16
151530b1a3
hexdb77a00

230128128 has 200 divisors, whose sum is σ = 712990080. Its totient is φ = 73820160.

The previous prime is 230128117. The next prime is 230128141. The reversal of 230128128 is 821821032.

230128128 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1285543 + ... + 1285721.

Almost surely, 2230128128 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 230128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356495040).

230128128 is an abundant number, since it is smaller than the sum of its proper divisors (482861952).

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

230128128 is an equidigital number, since it uses as much as digits as its factorization.

230128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 230128128 is about 15169.9745550215. The cubic root of 230128128 is about 612.8063189726.

The spelling of 230128128 in words is "two hundred thirty million, one hundred twenty-eight thousand, one hundred twenty-eight".