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230133220 = 22525744773
BaseRepresentation
bin11011011011110…
…00110111100100
3121001000222102121
431231320313210
5432403230340
634500315324
75463046222
oct1555706744
9531028377
10230133220
111089a4549
12650a2b44
13388a7b05
14227c7b12
151530c94a
hexdb78de4

230133220 has 24 divisors (see below), whose sum is σ = 485171064. Its totient is φ = 91693056.

The previous prime is 230133161. The next prime is 230133227. The reversal of 230133220 is 22331032.

230133220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 105185536 + 124947684 = 10256^2 + 11178^2 .

It is a super-2 number, since 2×2301332202 = 105922597895136800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230133194 and 230133203.

It is not an unprimeable number, because it can be changed into a prime (230133227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17247 + ... + 27526.

It is an arithmetic number, because the mean of its divisors is an integer number (20215461).

Almost surely, 2230133220 is an apocalyptic number.

230133220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230133220 is an abundant number, since it is smaller than the sum of its proper divisors (255037844).

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

230133220 is a wasteful number, since it uses less digits than its factorization.

230133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45039 (or 45037 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 230133220 is about 15170.1423856205. The cubic root of 230133220 is about 612.8108387544.

Adding to 230133220 its reverse (22331032), we get a palindrome (252464252).

The spelling of 230133220 in words is "two hundred thirty million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 44773 89546 179092 223865 447730 895460 11506661 23013322 46026644 57533305 115066610 230133220