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231331440 = 24351496469
BaseRepresentation
bin11011100100111…
…01011001110000
3121010021212002010
431302131121300
5433210101230
634542122520
75506166454
oct1562353160
9533255063
10231331440
1110964280a
1265580440
1338c07312
1422a1a664
15154979b0
hexdc9d670

231331440 has 80 divisors (see below), whose sum is σ = 722052000. Its totient is φ = 61264896.

The previous prime is 231331439. The next prime is 231331469. The reversal of 231331440 is 44133132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32526 + ... + 38994.

It is an arithmetic number, because the mean of its divisors is an integer number (9025650).

Almost surely, 2231331440 is an apocalyptic number.

231331440 is a gapful number since it is divisible by the number (20) 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 231331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361026000).

231331440 is an abundant number, since it is smaller than the sum of its proper divisors (490720560).

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

231331440 is a wasteful number, since it uses less digits than its factorization.

231331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 231331440 is about 15209.5838207362. The cubic root of 231331440 is about 613.8725592897.

Adding to 231331440 its reverse (44133132), we get a palindrome (275464572).

The spelling of 231331440 in words is "two hundred thirty-one million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 5960 6469 7152 8940 11920 12938 17880 19407 25876 32345 35760 38814 51752 64690 77628 97035 103504 129380 155256 194070 258760 310512 388140 517520 776280 963881 1552560 1927762 2891643 3855524 4819405 5783286 7711048 9638810 11566572 14458215 15422096 19277620 23133144 28916430 38555240 46266288 57832860 77110480 115665720 231331440