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230505768 = 23323201469
BaseRepresentation
bin11011011110100…
…11110100101000
3121001201220110200
431233103310220
5433002141033
634512312200
75466160323
oct1557236450
9531656420
10230505768
11109129439
1265242660
13389a855c
14228837ba
1515383013
hexdbd3d28

230505768 has 24 divisors (see below), whose sum is σ = 624286650. Its totient is φ = 76835232.

The previous prime is 230505767. The next prime is 230505791. The reversal of 230505768 is 867505032.

230505768 is a `hidden beast` number, since 2 + 30 + 50 + 576 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126832644 + 103673124 = 11262^2 + 10182^2 .

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 not an unprimeable number, because it can be changed into a prime (230505767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1600663 + ... + 1600806.

Almost surely, 2230505768 is an apocalyptic number.

It is an amenable number.

230505768 is an abundant number, since it is smaller than the sum of its proper divisors (393780882).

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

230505768 is a wasteful number, since it uses less digits than its factorization.

230505768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201481 (or 3201474 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 230505768 is about 15182.4164084641. The cubic root of 230505768 is about 613.1413406101.

The spelling of 230505768 in words is "two hundred thirty million, five hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3201469 6402938 9604407 12805876 19208814 25611752 28813221 38417628 57626442 76835256 115252884 230505768