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230760648 = 23323205009
BaseRepresentation
bin11011100000100…
…10000011001000
3121002012212002200
431300102003020
5433033320043
634522000200
75501301366
oct1560220310
9532185080
10230760648
11109292988
1265346060
1338a67581
142290c636
15153d37d3
hexdc120c8

230760648 has 24 divisors (see below), whose sum is σ = 624976950. Its totient is φ = 76920192.

The previous prime is 230760631. The next prime is 230760653. The reversal of 230760648 is 846067032.

230760648 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 6 + 0 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147914244 + 82846404 = 12162^2 + 9102^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1602433 + ... + 1602576.

Almost surely, 2230760648 is an apocalyptic number.

It is an amenable number.

230760648 is an abundant number, since it is smaller than the sum of its proper divisors (394216302).

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

230760648 is a wasteful number, since it uses less digits than its factorization.

230760648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205021 (or 3205014 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 230760648 is about 15190.8080101093. The cubic root of 230760648 is about 613.3672494897.

The spelling of 230760648 in words is "two hundred thirty million, seven hundred sixty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3205009 6410018 9615027 12820036 19230054 25640072 28845081 38460108 57690162 76920216 115380324 230760648