Search a number
-
+
231012432 = 2433779967
BaseRepresentation
bin11011100010011…
…11100001010000
3121002200122111000
431301033201100
5433114344212
634531222000
75503400430
oct1561174120
9532618430
10231012432
11109445072
1265447900
1338b25061
14229762c0
15154331dc
hexdc4f850

231012432 has 160 divisors (see below), whose sum is σ = 768204800. Its totient is φ = 65100672.

The previous prime is 231012427. The next prime is 231012479. The reversal of 231012432 is 234210132.

231012432 is a `hidden beast` number, since 231 + 0 + 1 + 2 + 432 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238413 + ... + 239379.

It is an arithmetic number, because the mean of its divisors is an integer number (4801280).

Almost surely, 2231012432 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 231012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384102400).

231012432 is an abundant number, since it is smaller than the sum of its proper divisors (537192368).

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

231012432 is a wasteful number, since it uses less digits than its factorization.

231012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231012432 is about 15199.0931308417. The cubic root of 231012432 is about 613.5902510085.

Adding to 231012432 its reverse (234210132), we get a palindrome (465222564).

The spelling of 231012432 in words is "two hundred thirty-one million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 79 84 108 112 126 144 158 168 189 216 237 252 316 336 378 432 474 504 553 632 711 756 948 967 1008 1106 1264 1422 1512 1659 1896 1934 2133 2212 2844 2901 3024 3318 3792 3868 4266 4424 4977 5688 5802 6636 6769 7736 8532 8703 8848 9954 11376 11604 13272 13538 14931 15472 17064 17406 19908 20307 23208 26109 26544 27076 29862 34128 34812 39816 40614 46416 52218 54152 59724 60921 69624 76393 79632 81228 104436 108304 119448 121842 139248 152786 162456 182763 208872 229179 238896 243684 305572 324912 365526 417744 458358 487368 534751 611144 687537 731052 916716 974736 1069502 1222288 1375074 1462104 1604253 1833432 2062611 2139004 2750148 2924208 3208506 3666864 4125222 4278008 4812759 5500296 6417012 8250444 8556016 9625518 11000592 12834024 14438277 16500888 19251036 25668048 28876554 33001776 38502072 57753108 77004144 115506216 231012432