Search a number
-
+
231033312 = 25321942221
BaseRepresentation
bin11011100010101…
…00100111100000
3121002201201010100
431301110213200
5433121031222
634531502400
75503515336
oct1561244740
9532651110
10231033312
11109459824
1265457a00
1338b31703
142297db56
15154394ac
hexdc549e0

231033312 has 72 divisors (see below), whose sum is σ = 691596360. Its totient is φ = 72956160.

The previous prime is 231033301. The next prime is 231033317. The reversal of 231033312 is 213330132.

It is a tau number, because it is divible by the number of its divisors (72).

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 (231033317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15639 + ... + 26582.

It is an arithmetic number, because the mean of its divisors is an integer number (9605505).

Almost surely, 2231033312 is an apocalyptic number.

It is an amenable number.

231033312 is an abundant number, since it is smaller than the sum of its proper divisors (460563048).

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

231033312 is a wasteful number, since it uses less digits than its factorization.

231033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42256 (or 42245 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 231033312 is about 15199.7799984079. The cubic root of 231033312 is about 613.6087368512.

Adding to 231033312 its reverse (213330132), we get a palindrome (444363444).

The spelling of 231033312 in words is "two hundred thirty-one million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 42221 84442 126663 168884 253326 337768 379989 506652 675536 759978 802199 1013304 1351072 1519956 1604398 2026608 2406597 3039912 3208796 4053216 4813194 6079824 6417592 7219791 9626388 12159648 12835184 14439582 19252776 25670368 28879164 38505552 57758328 77011104 115516656 231033312