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230616288 = 25337172243
BaseRepresentation
bin11011011111011…
…10110011100000
3121001221112002000
431233232303200
5433014210123
634514524000
75500130460
oct1557566340
9531845060
10230616288
111091a4481
1265296600
1338a16956
14228b1ba0
15153a5b43
hexdbeece0

230616288 has 192 divisors, whose sum is σ = 814302720. Its totient is φ = 61986816.

The previous prime is 230616283. The next prime is 230616299. The reversal of 230616288 is 882616032.

230616288 is a `hidden beast` number, since 2 + 30 + 616 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230616283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101695 + ... + 103937.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2230616288 is an apocalyptic number.

230616288 is a gapful number since it is divisible by the number (28) 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 230616288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407151360).

230616288 is an abundant number, since it is smaller than the sum of its proper divisors (583686432).

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

230616288 is a wasteful number, since it uses less digits than its factorization.

230616288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 230616288 is about 15186.0557091037. The cubic root of 230616288 is about 613.2393187130.

The spelling of 230616288 in words is "two hundred thirty million, six hundred sixteen thousand, two hundred eighty-eight".