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230856600 = 2335213171741
BaseRepresentation
bin11011100001010…
…01011110011000
3121002101201201110
431300221132120
5433044402400
634524020320
75502151212
oct1560513630
9532351643
10230856600
11109348a87
12653916a0
1338a9c150
14229355b2
1515401e50
hexdc29798

230856600 has 192 divisors, whose sum is σ = 816510240. Its totient is φ = 53452800.

The previous prime is 230856599. The next prime is 230856601. The reversal of 230856600 is 6658032.

230856600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230856599) and next prime (230856601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230856601) 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, 131730 + ... + 133470.

Almost surely, 2230856600 is an apocalyptic number.

230856600 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 230856600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408255120).

230856600 is an abundant number, since it is smaller than the sum of its proper divisors (585653640).

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

230856600 is a wasteful number, since it uses less digits than its factorization.

230856600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 230856600 is about 15193.9659075569. The cubic root of 230856600 is about 613.4522519362.

The spelling of 230856600 in words is "two hundred thirty million, eight hundred fifty-six thousand, six hundred".