Search a number
-
+
230640500 = 2253795839
BaseRepresentation
bin11011011111101…
…00101101110100
3121001222202021202
431233310231310
5433020444000
634515232032
75500261166
oct1557645564
9531882252
10230640500
11109210692
12652a8618
1338a2498c
14228ba936
15153acdd5
hexdbf4b74

230640500 has 48 divisors (see below), whose sum is σ = 510182400. Its totient is φ = 91072800.

The previous prime is 230640493. The next prime is 230640523. The reversal of 230640500 is 5046032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36581 + ... + 42419.

It is an arithmetic number, because the mean of its divisors is an integer number (10628800).

Almost surely, 2230640500 is an apocalyptic number.

230640500 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 230640500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255091200).

230640500 is an abundant number, since it is smaller than the sum of its proper divisors (279541900).

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

230640500 is a wasteful number, since it uses less digits than its factorization.

230640500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5925 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 230640500 is about 15186.8528668714. The cubic root of 230640500 is about 613.2607789359.

Adding to 230640500 its reverse (5046032), we get a palindrome (235686532).

The spelling of 230640500 in words is "two hundred thirty million, six hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 125 158 250 316 395 500 790 1580 1975 3950 5839 7900 9875 11678 19750 23356 29195 39500 58390 116780 145975 291950 461281 583900 729875 922562 1459750 1845124 2306405 2919500 4612810 9225620 11532025 23064050 46128100 57660125 115320250 230640500