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230884080 = 24357229677
BaseRepresentation
bin11011100001100…
…00001011110000
3121002110010102020
431300300023300
5433101242310
634524351440
75502324300
oct1560601360
9532403366
10230884080
11109367699
12653a5580
1338aab7cb
1422941600
151540a170
hexdc302f0

230884080 has 240 divisors, whose sum is σ = 862578720. Its totient is φ = 50878464.

The previous prime is 230884037. The next prime is 230884099. The reversal of 230884080 is 80488032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340702 + ... + 341378.

It is an arithmetic number, because the mean of its divisors is an integer number (3594078).

Almost surely, 2230884080 is an apocalyptic number.

230884080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431289360).

230884080 is an abundant number, since it is smaller than the sum of its proper divisors (631694640).

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

230884080 is a wasteful number, since it uses less digits than its factorization.

230884080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 230884080 is about 15194.8701870072. The cubic root of 230884080 is about 613.4765917198.

The spelling of 230884080 in words is "two hundred thirty million, eight hundred eighty-four thousand, eighty".