Search a number
-
+
230028 = 22329661
BaseRepresentation
bin111000001010001100
3102200112120
4320022030
524330103
64532540
71645431
oct701214
9380476
10230028
11147907
12b1150
1380916
145db88
1548253
hex3828c

230028 has 24 divisors (see below), whose sum is σ = 556080. Its totient is φ = 73920.

The previous prime is 230017. The next prime is 230047. The reversal of 230028 is 820032.

230028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 229989 and 230016.

It is a congruent number.

It is an unprimeable number.

230028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18 + ... + 678.

It is an arithmetic number, because the mean of its divisors is an integer number (23170).

2230028 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 230028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278040).

230028 is an abundant number, since it is smaller than the sum of its proper divisors (326052).

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

230028 is a wasteful number, since it uses less digits than its factorization.

230028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230028 is about 479.6123434608. The cubic root of 230028 is about 61.2717429401.

The spelling of 230028 in words is "two hundred thirty thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 661 1322 1983 2644 3966 7932 19169 38338 57507 76676 115014 230028