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230584653 = 32131970809
BaseRepresentation
bin11011011111001…
…11000101001101
3121001212220200100
431233213011031
5433012202103
634514121313
75466636315
oct1557470515
9531786610
10230584653
11109182732
1265280239
1338a05430
14228a4445
151539b5a3
hexdbe714d

230584653 has 12 divisors (see below), whose sum is σ = 358687420. Its totient is φ = 141898176.

The previous prime is 230584643. The next prime is 230584661. The reversal of 230584653 is 356485032.

It is a happy number.

230584653 is a `hidden beast` number, since 23 + 0 + 584 + 6 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106440489 + 124144164 = 10317^2 + 11142^2 .

It is not a de Polignac number, because 230584653 - 25 = 230584621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230584643) 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 11 ways as a sum of consecutive naturals, for example, 985288 + ... + 985521.

Almost surely, 2230584653 is an apocalyptic number.

It is an amenable number.

230584653 is a deficient number, since it is larger than the sum of its proper divisors (128102767).

230584653 is a wasteful number, since it uses less digits than its factorization.

230584653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970828 (or 1970825 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 230584653 is about 15185.0140928483. The cubic root of 230584653 is about 613.2112768762.

The spelling of 230584653 in words is "two hundred thirty million, five hundred eighty-four thousand, six hundred fifty-three".

Divisors: 1 3 9 13 39 117 1970809 5912427 17737281 25620517 76861551 230584653