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230027616 = 253271367131
BaseRepresentation
bin11011011010111…
…11000101100000
3121000211121120100
431231133011200
5432341340431
634454142400
75462126310
oct1555370540
9530747510
10230027616
11108932175
1265051a00
133886ba20
142279b440
15152db4e6
hexdb5f160

230027616 has 288 divisors, whose sum is σ = 823350528. Its totient is φ = 59304960.

The previous prime is 230027573. The next prime is 230027617. The reversal of 230027616 is 616720032.

It is a happy number.

230027616 is a `hidden beast` number, since 23 + 0 + 0 + 27 + 616 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230027616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230027617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755871 + ... + 1756001.

It is an arithmetic number, because the mean of its divisors is an integer number (2858856).

Almost surely, 2230027616 is an apocalyptic number.

230027616 is a gapful number since it is divisible by the number (26) 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 230027616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411675264).

230027616 is an abundant number, since it is smaller than the sum of its proper divisors (593322912).

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

230027616 is a wasteful number, since it uses less digits than its factorization.

230027616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230027616 is about 15166.6613333324. The cubic root of 230027616 is about 612.7170884515.

Adding to 230027616 its reverse (616720032), we get a palindrome (846747648).

The spelling of 230027616 in words is "two hundred thirty million, twenty-seven thousand, six hundred sixteen".