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230482560 = 27357111559
BaseRepresentation
bin11011011110011…
…10001010000000
3121001200201122010
431233032022000
5433000420220
634512012520
75466032550
oct1557161200
9531621563
10230482560
11109112a60
1265231140
133899ab19
1422879160
151537b1e0
hexdbce280

230482560 has 256 divisors, whose sum is σ = 916531200. Its totient is φ = 47861760.

The previous prime is 230482547. The next prime is 230482591. The reversal of 230482560 is 65284032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147061 + ... + 148619.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2230482560 is an apocalyptic number.

230482560 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 230482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458265600).

230482560 is an abundant number, since it is smaller than the sum of its proper divisors (686048640).

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

230482560 is a wasteful number, since it uses less digits than its factorization.

230482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 230482560 is about 15181.6520840125. The cubic root of 230482560 is about 613.1207622938.

The spelling of 230482560 in words is "two hundred thirty million, four hundred eighty-two thousand, five hundred sixty".