Search a number
-
+
230125500 = 223253114649
BaseRepresentation
bin11011011011101…
…10111110111100
3121001000120211200
431231312332330
5432403004000
634500215500
75463014553
oct1555667674
9531016750
10230125500
11108999770
126509a590
13388a4447
14227c4d9a
151530a500
hexdb76fbc

230125500 has 144 divisors (see below), whose sum is σ = 792136800. Its totient is φ = 55776000.

The previous prime is 230125471. The next prime is 230125501. The reversal of 230125500 is 5521032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230125501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47176 + ... + 51824.

It is an arithmetic number, because the mean of its divisors is an integer number (5500950).

Almost surely, 2230125500 is an apocalyptic number.

230125500 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 230125500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396068400).

230125500 is an abundant number, since it is smaller than the sum of its proper divisors (562011300).

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

230125500 is a wasteful number, since it uses less digits than its factorization.

230125500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 230125500 is about 15169.8879363033. The cubic root of 230125500 is about 612.8039862705.

Adding to 230125500 its reverse (5521032), we get a palindrome (235646532).

The spelling of 230125500 in words is "two hundred thirty million, one hundred twenty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 125 132 150 165 180 198 220 225 250 275 300 330 375 396 450 495 500 550 660 750 825 900 990 1100 1125 1375 1500 1650 1980 2250 2475 2750 3300 4125 4500 4649 4950 5500 8250 9298 9900 12375 13947 16500 18596 23245 24750 27894 41841 46490 49500 51139 55788 69735 83682 92980 102278 116225 139470 153417 167364 204556 209205 232450 255695 278940 306834 348675 418410 460251 464900 511390 581125 613668 697350 767085 836820 920502 1022780 1046025 1162250 1278475 1394700 1534170 1743375 1841004 2092050 2301255 2324500 2556950 3068340 3486750 3835425 4184100 4602510 5113900 5230125 6392375 6973500 7670850 9205020 10460250 11506275 12784750 15341700 19177125 20920500 23012550 25569500 38354250 46025100 57531375 76708500 115062750 230125500