Search a number
-
+
232544130 = 235713103827
BaseRepresentation
bin11011101110001…
…01011110000010
3121012120110120120
431313011132002
5434012403010
635024121110
75522410140
oct1567053602
9535513516
10232544130
1110a2a0935
1265a66196
13392402a0
1422c54590
1515636e70
hexddc5782

232544130 has 128 divisors (see below), whose sum is σ = 694407168. Its totient is φ = 48529152.

The previous prime is 232544107. The next prime is 232544131. The reversal of 232544130 is 31445232.

It is a self number, because there is not a number n which added to its sum of digits gives 232544130.

It is not an unprimeable number, because it can be changed into a prime (232544131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280777 + ... + 281603.

It is an arithmetic number, because the mean of its divisors is an integer number (5425056).

Almost surely, 2232544130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232544130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347203584).

232544130 is an abundant number, since it is smaller than the sum of its proper divisors (461863038).

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

232544130 is a wasteful number, since it uses less digits than its factorization.

232544130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 232544130 is about 15249.3976930238. The cubic root of 232544130 is about 614.9433750496.

Adding to 232544130 its reverse (31445232), we get a palindrome (263989362).

The spelling of 232544130 in words is "two hundred thirty-two million, five hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 103 105 130 182 195 206 210 273 309 390 455 515 546 618 721 827 910 1030 1339 1365 1442 1545 1654 2163 2481 2678 2730 3090 3605 4017 4135 4326 4962 5789 6695 7210 8034 8270 9373 10751 10815 11578 12405 13390 17367 18746 20085 21502 21630 24810 28119 28945 32253 34734 40170 46865 53755 56238 57890 64506 75257 85181 86835 93730 107510 140595 150514 161265 170362 173670 225771 255543 281190 322530 376285 425905 451542 511086 596267 752570 851810 1107353 1128855 1192534 1277715 1788801 2214706 2257710 2555430 2981335 3322059 3577602 5536765 5962670 6644118 7751471 8944005 11073530 15502942 16610295 17888010 23254413 33220590 38757355 46508826 77514710 116272065 232544130