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230004100 = 22525343397
BaseRepresentation
bin11011011010110…
…01010110000100
3121000210102022101
431231121112010
5432340112400
634453441444
75462000614
oct1555312604
9530712271
10230004100
11108916537
1265040284
1338861101
1422792a44
15152d456a
hexdb59584

230004100 has 36 divisors (see below), whose sum is σ = 508537764. Its totient is φ = 90263680.

The previous prime is 230004091. The next prime is 230004107. The reversal of 230004100 is 1400032.

230004100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10549504 + 219454596 = 3248^2 + 14814^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

230004100 is a modest number, since divided by 4100 gives 2300 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230004107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16399 + ... + 26998.

It is an arithmetic number, because the mean of its divisors is an integer number (14126049).

Almost surely, 2230004100 is an apocalyptic number.

230004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230004100 is an abundant number, since it is smaller than the sum of its proper divisors (278533664).

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

230004100 is a wasteful number, since it uses less digits than its factorization.

230004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43464 (or 43457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 230004100 is about 15165.8860604978. The cubic root of 230004100 is about 612.6962081382.

Adding to 230004100 its reverse (1400032), we get a palindrome (231404132).

The spelling of 230004100 in words is "two hundred thirty million, four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 43397 86794 173588 216985 433970 867940 1084925 2169850 2300041 4339700 4600082 9200164 11500205 23000410 46000820 57501025 115002050 230004100