Search a number
-
+
231723384 = 23361831907
BaseRepresentation
bin11011100111111…
…01000101111000
3121011000202201120
431303331011320
5433310122014
634554345240
75512421244
oct1563750570
9534022646
10231723384
11109890232
126572b220
1339013839
1422abd424
1515523ba9
hexdcfd178

231723384 has 64 divisors (see below), whose sum is σ = 596211840. Its totient is φ = 75020160.

The previous prime is 231723383. The next prime is 231723403. The reversal of 231723384 is 483327132.

It is a super-2 number, since 2×2317233842 = 107391453384822912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231723383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120559 + ... + 122465.

It is an arithmetic number, because the mean of its divisors is an integer number (9315810).

Almost surely, 2231723384 is an apocalyptic number.

231723384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231723384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298105920).

231723384 is an abundant number, since it is smaller than the sum of its proper divisors (364488456).

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

231723384 is a wasteful number, since it uses less digits than its factorization.

231723384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2056 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 231723384 is about 15222.4631384017. The cubic root of 231723384 is about 614.2190576724.

The spelling of 231723384 in words is "two hundred thirty-one million, seven hundred twenty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 61 83 122 166 183 244 249 332 366 488 498 664 732 996 1464 1907 1992 3814 5063 5721 7628 10126 11442 15189 15256 20252 22884 30378 40504 45768 60756 116327 121512 158281 232654 316562 348981 465308 474843 633124 697962 930616 949686 1266248 1395924 1899372 2791848 3798744 9655141 19310282 28965423 38620564 57930846 77241128 115861692 231723384