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230145400 = 23521497723
BaseRepresentation
bin11011011011110…
…11110101111000
3121001001121010201
431231323311320
5432404123100
634500451544
75463126562
oct1555736570
9531047121
10230145400
11108a02711
12650a9bb4
13388b0514
14227cc332
151531136a
hexdb7bd78

230145400 has 48 divisors (see below), whose sum is σ = 538749000. Its totient is φ = 91428480.

The previous prime is 230145389. The next prime is 230145403. The reversal of 230145400 is 4541032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230145403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25939 + ... + 33661.

Almost surely, 2230145400 is an apocalyptic number.

230145400 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 230145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269374500).

230145400 is an abundant number, since it is smaller than the sum of its proper divisors (308603600).

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

230145400 is a wasteful number, since it uses less digits than its factorization.

230145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 230145400 is about 15170.5438267717. The cubic root of 230145400 is about 612.8216497452.

Adding to 230145400 its reverse (4541032), we get a palindrome (234686432).

The spelling of 230145400 in words is "two hundred thirty million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1192 1490 2980 3725 5960 7450 7723 14900 15446 29800 30892 38615 61784 77230 154460 193075 308920 386150 772300 1150727 1544600 2301454 4602908 5753635 9205816 11507270 23014540 28768175 46029080 57536350 115072700 230145400