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231741048 = 233711891409
BaseRepresentation
bin11011101000000…
…01011001111000
3121011001122221210
431310001121320
5433311203143
634555003120
75512523610
oct1564013170
9534048853
10231741048
111098a2530
12657394a0
133901b8a6
1422ac5a40
1515529033
hexdd01678

231741048 has 128 divisors (see below), whose sum is σ = 730944000. Its totient is φ = 59473920.

The previous prime is 231741017. The next prime is 231741071. The reversal of 231741048 is 840147132.

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, 163768 + ... + 165176.

It is an arithmetic number, because the mean of its divisors is an integer number (5710500).

Almost surely, 2231741048 is an apocalyptic number.

231741048 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 231741048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365472000).

231741048 is an abundant number, since it is smaller than the sum of its proper divisors (499202952).

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

231741048 is a wasteful number, since it uses less digits than its factorization.

231741048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 231741048 is about 15223.0433225423. The cubic root of 231741048 is about 614.2346643404.

It can be divided in two parts, 2317 and 41048, that added together give a triangular number (43365 = T294).

The spelling of 231741048 in words is "two hundred thirty-one million, seven hundred forty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 89 132 154 168 178 231 264 267 308 356 462 534 616 623 712 924 979 1068 1246 1409 1848 1869 1958 2136 2492 2818 2937 3738 3916 4227 4984 5636 5874 6853 7476 7832 8454 9863 11272 11748 13706 14952 15499 16908 19726 20559 23496 27412 29589 30998 33816 39452 41118 46497 54824 59178 61996 78904 82236 92994 108493 118356 123992 125401 164472 185988 216986 236712 250802 325479 371976 376203 433972 501604 650958 752406 867944 877807 1003208 1301916 1379411 1504812 1755614 2603832 2633421 2758822 3009624 3511228 4138233 5266842 5517644 7022456 8276466 9655877 10533684 11035288 16552932 19311754 21067368 28967631 33105864 38623508 57935262 77247016 115870524 231741048