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231682248 = 23337672287
BaseRepresentation
bin11011100111100…
…11000011001000
3121010221200022000
431303303003020
5433302312443
634553431000
75512160310
oct1563630310
9533850260
10231682248
11109862336
126570b460
1338ccabb5
1422aac440
15155168d3
hexdcf30c8

231682248 has 128 divisors (see below), whose sum is σ = 746803200. Its totient is φ = 65178432.

The previous prime is 231682193. The next prime is 231682291. The reversal of 231682248 is 842286132.

231682248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100161 + ... + 102447.

It is an arithmetic number, because the mean of its divisors is an integer number (5834400).

Almost surely, 2231682248 is an apocalyptic number.

231682248 is a gapful number since it is divisible by the number (28) 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 231682248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373401600).

231682248 is an abundant number, since it is smaller than the sum of its proper divisors (515120952).

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

231682248 is a wasteful number, since it uses less digits than its factorization.

231682248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2366 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 231682248 is about 15221.1119173338. Note that the first 3 decimals coincide. The cubic root of 231682248 is about 614.1827097217.

The spelling of 231682248 in words is "two hundred thirty-one million, six hundred eighty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 378 402 469 504 536 603 756 804 938 1206 1407 1512 1608 1809 1876 2287 2412 2814 3618 3752 4221 4574 4824 5628 6861 7236 8442 9148 11256 12663 13722 14472 16009 16884 18296 20583 25326 27444 32018 33768 41166 48027 50652 54888 61749 64036 82332 96054 101304 123498 128072 144081 153229 164664 192108 246996 288162 306458 384216 432243 459687 493992 576324 612916 864486 919374 1072603 1152648 1225832 1379061 1728972 1838748 2145206 2758122 3217809 3457944 3677496 4137183 4290412 5516244 6435618 8274366 8580824 9653427 11032488 12871236 16548732 19306854 25742472 28960281 33097464 38613708 57920562 77227416 115841124 231682248