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230004160 = 2656111783
BaseRepresentation
bin11011011010110…
…01010111000000
3121000210102101121
431231121113000
5432340113120
634453442024
75462001031
oct1555312700
9530712347
10230004160
11108916591
1265040314
1338861149
1422792a88
15152d45aa
hexdb595c0

230004160 has 56 divisors (see below), whose sum is σ = 556723296. Its totient is φ = 90485760.

The previous prime is 230004157. The next prime is 230004161. The reversal of 230004160 is 61400032.

230004160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230004161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13629 + ... + 25411.

Almost surely, 2230004160 is an apocalyptic number.

230004160 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 230004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278361648).

230004160 is an abundant number, since it is smaller than the sum of its proper divisors (326719136).

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

230004160 is a wasteful number, since it uses less digits than its factorization.

230004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11861 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 230004160 is about 15165.8880386214. Note that the first 3 decimals coincide. The cubic root of 230004160 is about 612.6962614152.

Adding to 230004160 its reverse (61400032), we get a palindrome (291404192).

The spelling of 230004160 in words is "two hundred thirty million, four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 11783 19520 23566 47132 58915 94264 117830 188528 235660 377056 471320 718763 754112 942640 1437526 1885280 2875052 3593815 3770560 5750104 7187630 11500208 14375260 23000416 28750520 46000832 57501040 115002080 230004160