Search a number
-
+
230025564 = 223229792789
BaseRepresentation
bin11011011010111…
…10100101011100
3121000211111202100
431231132211130
5432341304224
634454125100
75462120316
oct1555364534
9530744670
10230025564
1110893067a
1265050790
133886ab02
142279a7b6
15152daac9
hexdb5e95c

230025564 has 72 divisors (see below), whose sum is σ = 609336000. Its totient is φ = 73067904.

The previous prime is 230025563. The next prime is 230025577. The reversal of 230025564 is 465520032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230025563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81082 + ... + 83870.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2230025564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230025564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668000).

230025564 is an abundant number, since it is smaller than the sum of its proper divisors (379310436).

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

230025564 is a wasteful number, since it uses less digits than its factorization.

230025564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 230025564 is about 15166.5936848061. The cubic root of 230025564 is about 612.7152664975.

Adding to 230025564 its reverse (465520032), we get a palindrome (695545596).

The spelling of 230025564 in words is "two hundred thirty million, twenty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 79 87 116 158 174 237 261 316 348 474 522 711 948 1044 1422 2291 2789 2844 4582 5578 6873 8367 9164 11156 13746 16734 20619 25101 27492 33468 41238 50202 80881 82476 100404 161762 220331 242643 323524 440662 485286 660993 727929 881324 970572 1321986 1455858 1982979 2643972 2911716 3965958 6389599 7931916 12779198 19168797 25558396 38337594 57506391 76675188 115012782 230025564