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230243580 = 223357173583
BaseRepresentation
bin11011011100100…
…11110011111100
3121001020120211000
431232103303330
5432420243310
634502530300
75464016040
oct1556236374
9531216730
10230243580
11108a6a456
1265136990
1338916108
1422816020
15153304c0
hexdb93cfc

230243580 has 192 divisors, whose sum is σ = 867041280. Its totient is φ = 49517568.

The previous prime is 230243569. The next prime is 230243617. The reversal of 230243580 is 85342032.

230243580 is a `hidden beast` number, since 2 + 302 + 4 + 358 + 0 = 666.

It is a super-2 number, since 2×2302435802 = 106024212262432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62469 + ... + 66051.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2230243580 is an apocalyptic number.

230243580 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 230243580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433520640).

230243580 is an abundant number, since it is smaller than the sum of its proper divisors (636797700).

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

230243580 is a wasteful number, since it uses less digits than its factorization.

230243580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230243580 is about 15173.7793578264. The cubic root of 230243580 is about 612.9087805704.

The spelling of 230243580 in words is "two hundred thirty million, two hundred forty-three thousand, five hundred eighty".