Search a number
-
+
230463672 = 233313071009
BaseRepresentation
bin11011011110010…
…01100010111000
3121001122202201120
431233021202320
5432444314142
634511345240
75465623515
oct1557114270
9531582646
10230463672
111090aa84a
1265222220
133899234a
142287230c
15153757ec
hexdbc98b8

230463672 has 64 divisors (see below), whose sum is σ = 597273600. Its totient is φ = 74027520.

The previous prime is 230463671. The next prime is 230463683. The reversal of 230463672 is 276364032.

It is a super-2 number, since 2×2304636722 = 106227008223447168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230463671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227904 + ... + 228912.

It is an arithmetic number, because the mean of its divisors is an integer number (9332400).

Almost surely, 2230463672 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 230463672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298636800).

230463672 is an abundant number, since it is smaller than the sum of its proper divisors (366809928).

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

230463672 is a wasteful number, since it uses less digits than its factorization.

230463672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 230463672 is about 15181.0300045814. The cubic root of 230463672 is about 613.1040134614.

The spelling of 230463672 in words is "two hundred thirty million, four hundred sixty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 307 372 614 744 921 1009 1228 1842 2018 2456 3027 3684 4036 6054 7368 8072 9517 12108 19034 24216 28551 31279 38068 57102 62558 76136 93837 114204 125116 187674 228408 250232 309763 375348 619526 750696 929289 1239052 1858578 2478104 3717156 7434312 9602653 19205306 28807959 38410612 57615918 76821224 115231836 230463672