Search a number
-
+
230775552 = 2832741349
BaseRepresentation
bin11011100000101…
…01101100000000
3121002020121112200
431300111230000
5433034304202
634522153200
75501363010
oct1560255400
9532217480
10230775552
111092a30a7
1265352800
1338a712a7
1422913c40
15153d7e1c
hexdc15b00

230775552 has 216 divisors, whose sum is σ = 781216800. Its totient is φ = 64143360.

The previous prime is 230775529. The next prime is 230775569. The reversal of 230775552 is 255577032.

It is a happy number.

230775552 is a `hidden beast` number, since 2 + 30 + 7 + 75 + 552 = 666.

230775552 is digitally balanced in base 3, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661074 + ... + 661422.

Almost surely, 2230775552 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 230775552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390608400).

230775552 is an abundant number, since it is smaller than the sum of its proper divisors (550441248).

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

230775552 is a wasteful number, since it uses less digits than its factorization.

230775552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 230775552 is about 15191.2985620058. The cubic root of 230775552 is about 613.3804542667.

The spelling of 230775552 in words is "two hundred thirty million, seven hundred seventy-five thousand, five hundred fifty-two".