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231321240 = 233253172027
BaseRepresentation
bin11011100100110…
…10111010011000
3121010021100002100
431302122322120
5433204234430
634542003400
75506124643
oct1562327230
9533240070
10231321240
11109636087
1265576560
1338c02797
1422a16a5a
1515494960
hexdc9ae98

231321240 has 96 divisors (see below), whose sum is σ = 754537680. Its totient is φ = 61460736.

The previous prime is 231321191. The next prime is 231321301. The reversal of 231321240 is 42123132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113107 + ... + 115133.

Almost surely, 2231321240 is an apocalyptic number.

231321240 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 231321240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377268840).

231321240 is an abundant number, since it is smaller than the sum of its proper divisors (523216440).

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

231321240 is a wasteful number, since it uses less digits than its factorization.

231321240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231321240 is about 15209.2485021450. The cubic root of 231321240 is about 613.8635367488.

Adding to 231321240 its reverse (42123132), we get a palindrome (273444372).

The spelling of 231321240 in words is "two hundred thirty-one million, three hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 317 360 634 951 1268 1585 1902 2027 2536 2853 3170 3804 4054 4755 5706 6081 6340 7608 8108 9510 10135 11412 12162 12680 14265 16216 18243 19020 20270 22824 24324 28530 30405 36486 38040 40540 48648 57060 60810 72972 81080 91215 114120 121620 145944 182430 243240 364860 642559 729720 1285118 1927677 2570236 3212795 3855354 5140472 5783031 6425590 7710708 9638385 11566062 12851180 15421416 19276770 23132124 25702360 28915155 38553540 46264248 57830310 77107080 115660620 231321240