[go: up one dir, main page]

Search a number
-
+
231113250 = 23453101113
BaseRepresentation
bin11011100011010…
…00001000100010
3121002212202210000
431301220020202
5433131111000
634533320430
75504300364
oct1561501042
9532782700
10231113250
11109503895
1265496116
1338b5bc04
14229a0d34
1515453000
hexdc68222

231113250 has 160 divisors (see below), whose sum is σ = 658470384. Its totient is φ = 60480000.

The previous prime is 231113243. The next prime is 231113257. The reversal of 231113250 is 52311132.

It is an interprime number because it is at equal distance from previous prime (231113243) and next prime (231113257).

It can be written as a sum of positive squares in 8 ways, for example, as 4941729 + 226171521 = 2223^2 + 15039^2 .

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

It is not an unprimeable number, because it can be changed into a prime (231113257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2045194 + ... + 2045306.

Almost surely, 2231113250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231113250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329235192).

231113250 is an abundant number, since it is smaller than the sum of its proper divisors (427357134).

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

231113250 is a wasteful number, since it uses less digits than its factorization.

231113250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 231113250 is about 15202.4093485210. The cubic root of 231113250 is about 613.6794986513.

Adding to 231113250 its reverse (52311132), we get a palindrome (283424382).

The spelling of 231113250 in words is "two hundred thirty-one million, one hundred thirteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 101 113 125 135 150 162 202 225 226 250 270 303 339 375 405 450 505 565 606 675 678 750 810 909 1010 1017 1125 1130 1350 1515 1695 1818 2025 2034 2250 2525 2727 2825 3030 3051 3375 3390 4050 4545 5050 5085 5454 5650 6102 6750 7575 8181 8475 9090 9153 10125 10170 11413 12625 13635 14125 15150 15255 16362 16950 18306 20250 22725 22826 25250 25425 27270 28250 30510 34239 37875 40905 42375 45450 45765 50850 57065 68175 68478 75750 76275 81810 84750 91530 102717 113625 114130 127125 136350 152550 171195 204525 205434 227250 228825 254250 285325 308151 340875 342390 381375 409050 457650 513585 570650 616302 681750 762750 855975 924453 1022625 1027170 1144125 1426625 1540755 1711950 1848906 2045250 2288250 2567925 2853250 3081510 4279875 4622265 5135850 7703775 8559750 9244530 12839625 15407550 23111325 25679250 38518875 46222650 77037750 115556625 231113250