Search a number
-
+
230528020 = 22549923099
BaseRepresentation
bin11011011110110…
…01010000010100
3121001210000222211
431233121100110
5433003344040
634513003204
75466312232
oct1557312024
9531700884
10230528020
11109144128
1265253504
13389b5718
142288b952
15153898ea
hexdbd9414

230528020 has 24 divisors (see below), whose sum is σ = 485100000. Its totient is φ = 92022432.

The previous prime is 230528009. The next prime is 230528027. The reversal of 230528020 is 20825032.

230528020 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 junction number, because it is equal to n+sod(n) for n = 230527982 and 230528000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230528027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1570 + ... + 21529.

It is an arithmetic number, because the mean of its divisors is an integer number (20212500).

Almost surely, 2230528020 is an apocalyptic number.

230528020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230528020 is an abundant number, since it is smaller than the sum of its proper divisors (254571980).

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

230528020 is a wasteful number, since it uses less digits than its factorization.

230528020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23607 (or 23605 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 230528020 is about 15183.1492122023. The cubic root of 230528020 is about 613.1610699531.

The spelling of 230528020 in words is "two hundred thirty million, five hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 499 998 1996 2495 4990 9980 23099 46198 92396 115495 230990 461980 11526401 23052802 46105604 57632005 115264010 230528020