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230510052 = 223219217737
BaseRepresentation
bin11011011110101…
…00110111100100
3121001202010100100
431233110313210
5433002310202
634512344100
75466205653
oct1557246744
9531663310
10230510052
11109131683
1265245030
13389aa4a6
142288519a
151538441c
hexdbd4de4

230510052 has 54 divisors (see below), whose sum is σ = 614994198. Its totient is φ = 72788544.

The previous prime is 230510051. The next prime is 230510053. The reversal of 230510052 is 250015032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230510051) and next prime (230510053).

It can be written as a sum of positive squares in only one way, i.e., 223024356 + 7485696 = 14934^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230510051) 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 17 ways as a sum of consecutive naturals, for example, 4128 + ... + 21864.

Almost surely, 2230510052 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 230510052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307497099).

230510052 is an abundant number, since it is smaller than the sum of its proper divisors (384484146).

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

230510052 is a wasteful number, since it uses less digits than its factorization.

230510052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17785 (or 17761 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 230510052 is about 15182.5574920696. The cubic root of 230510052 is about 613.1451390418.

Adding to 230510052 its reverse (250015032), we get a palindrome (480525084).

The spelling of 230510052 in words is "two hundred thirty million, five hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 17737 35474 53211 70948 106422 159633 212844 319266 337003 638532 674006 1011009 1348012 2022018 3033027 4044036 6066054 6403057 12132108 12806114 19209171 25612228 38418342 57627513 76836684 115255026 230510052