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230283360 = 253251723409
BaseRepresentation
bin11011011100111…
…01100001100000
3121001022121101100
431232131201200
5432423031420
634503434400
75464243026
oct1556354140
9531277340
10230283360
11108a9732a
1265155a00
133892b258
1422826716
151533c190
hexdb9d860

230283360 has 288 divisors, whose sum is σ = 870367680. Its totient is φ = 55148544.

The previous prime is 230283359. The next prime is 230283373. The reversal of 230283360 is 63382032.

230283360 is a `hidden beast` number, since 23 + 0 + 283 + 360 = 666.

230283360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 562836 + ... + 563244.

It is an arithmetic number, because the mean of its divisors is an integer number (3022110).

Almost surely, 2230283360 is an apocalyptic number.

230283360 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 230283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435183840).

230283360 is an abundant number, since it is smaller than the sum of its proper divisors (640084320).

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

230283360 is a wasteful number, since it uses less digits than its factorization.

230283360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 230283360 is about 15175.0901150537. The cubic root of 230283360 is about 612.9440766791.

The spelling of 230283360 in words is "two hundred thirty million, two hundred eighty-three thousand, three hundred sixty".