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230856200 = 23528313907
BaseRepresentation
bin11011100001010…
…01011000001000
3121002101201011122
431300221120020
5433044344300
634524014412
75502150101
oct1560513010
9532351148
10230856200
11109348753
1265391408
1338a9bc03
14229353a8
1515401c85
hexdc29608

230856200 has 48 divisors (see below), whose sum is σ = 543246480. Its totient is φ = 91223360.

The previous prime is 230856133. The next prime is 230856239. The reversal of 230856200 is 2658032.

It is a self number, because there is not a number n which added to its sum of digits gives 230856200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9647 + ... + 23553.

It is an arithmetic number, because the mean of its divisors is an integer number (11317635).

Almost surely, 2230856200 is an apocalyptic number.

230856200 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 230856200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271623240).

230856200 is an abundant number, since it is smaller than the sum of its proper divisors (312390280).

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

230856200 is a wasteful number, since it uses less digits than its factorization.

230856200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14006 (or 13997 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 230856200 is about 15193.9527444309. The cubic root of 230856200 is about 613.4518976311.

The spelling of 230856200 in words is "two hundred thirty million, eight hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1660 2075 3320 4150 8300 13907 16600 27814 55628 69535 111256 139070 278140 347675 556280 695350 1154281 1390700 2308562 2781400 4617124 5771405 9234248 11542810 23085620 28857025 46171240 57714050 115428100 230856200