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231223234032 = 24327727315527
BaseRepresentation
bin1101011101010111111…
…0101000110111110000
3211002211100022022111200
43113111332220313300
512242021121442112
6254120020211200
722463633026560
oct3272576506760
9732740268450
10231223234032
118a07454004a
1238990239b00
1318a5bc51b9b
14b296b86da0
156034677cdc
hex35d5fa8df0

231223234032 has 120 divisors (see below), whose sum is σ = 740566934016. Its totient is φ = 65972700288.

The previous prime is 231223234013. The next prime is 231223234097. The reversal of 231223234032 is 230432322132.

231223234032 is a `hidden beast` number, since 2 + 31 + 223 + 2 + 3 + 403 + 2 = 666.

231223234032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 231223233987 and 231223234005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575053 + ... + 890579.

Almost surely, 2231223234032 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 231223234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370283467008).

231223234032 is an abundant number, since it is smaller than the sum of its proper divisors (509343699984).

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

231223234032 is a wasteful number, since it uses less digits than its factorization.

231223234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316275 (or 316266 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 231223234032 its reverse (230432322132), we get a palindrome (461655556164).

The spelling of 231223234032 in words is "two hundred thirty-one billion, two hundred twenty-three million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 727 1008 1454 2181 2908 4362 5089 5816 6543 8724 10178 11632 13086 15267 17448 20356 26172 30534 34896 40712 45801 52344 61068 81424 91602 104688 122136 183204 244272 315527 366408 631054 732816 946581 1262108 1893162 2208689 2524216 2839743 3786324 4417378 5048432 5679486 6626067 7572648 8834756 11358972 13252134 15145296 17669512 19878201 22717944 26504268 35339024 39756402 45435888 53008536 79512804 106017072 159025608 229388129 318051216 458776258 688164387 917552516 1376328774 1605716903 1835105032 2064493161 2752657548 3211433806 3670210064 4128986322 4817150709 5505315096 6422867612 8257972644 9634301418 11010630192 12845735224 14451452127 16515945288 19268602836 25691470448 28902904254 33031890576 38537205672 57805808508 77074411344 115611617016 231223234032