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230843268 = 22326412313
BaseRepresentation
bin11011100001001…
…10001110000100
3121002101001102200
431300212032010
5433043441033
634523434500
75502064305
oct1560461604
9532331380
10230843268
11109339a67
1265385a30
1338a96066
14229307ac
15153ed013
hexdc26384

230843268 has 18 divisors (see below), whose sum is σ = 583520574. Its totient is φ = 76947744.

The previous prime is 230843257. The next prime is 230843303. The reversal of 230843268 is 862348032.

It can be written as a sum of positive squares in only one way, i.e., 213802884 + 17040384 = 14622^2 + 4128^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2308432682 = 106577228761839648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6412313 = 230843268 / (2 + 3 + 0 + 8 + 4 + 3 + 2 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3206121 + ... + 3206192.

Almost surely, 2230843268 is an apocalyptic number.

It is an amenable number.

230843268 is an abundant number, since it is smaller than the sum of its proper divisors (352677306).

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

230843268 is a wasteful number, since it uses less digits than its factorization.

230843268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412323 (or 6412318 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 230843268 is about 15193.5271744253. The cubic root of 230843268 is about 613.4404427253.

The spelling of 230843268 in words is "two hundred thirty million, eight hundred forty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 6412313 12824626 19236939 25649252 38473878 57710817 76947756 115421634 230843268