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232311240 = 23345710243
BaseRepresentation
bin11011101100011…
…00100111001000
3121012010122010000
431312030213020
5433432424430
635015123000
75520420150
oct1566144710
9535118100
10232311240
1110a151967
1265973460
133918b295
1422bd3760
15155dce60
hexdd8c9c8

232311240 has 160 divisors (see below), whose sum is σ = 892457280. Its totient is φ = 53094528.

The previous prime is 232311223. The next prime is 232311251. The reversal of 232311240 is 42113232.

232311240 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17559 + ... + 27801.

It is an arithmetic number, because the mean of its divisors is an integer number (5577858).

Almost surely, 2232311240 is an apocalyptic number.

232311240 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 232311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446228640).

232311240 is an abundant number, since it is smaller than the sum of its proper divisors (660146040).

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

232311240 is a wasteful number, since it uses less digits than its factorization.

232311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10273 (or 10260 counting only the distinct ones).

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

The square root of 232311240 is about 15241.7597409223. The cubic root of 232311240 is about 614.7380204813.

Adding to 232311240 its reverse (42113232), we get a palindrome (274424472).

The spelling of 232311240 in words is "two hundred thirty-two million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 10243 11340 20486 22680 30729 40972 51215 61458 71701 81944 92187 102430 122916 143402 153645 184374 204860 215103 245832 276561 286804 307290 358505 368748 409720 430206 460935 553122 573608 614580 645309 717010 737496 829683 860412 921870 1075515 1106244 1229160 1290618 1382805 1434020 1659366 1720824 1843740 1935927 2151030 2212488 2581236 2765610 2868040 3226545 3318732 3687480 3871854 4148415 4302060 5162472 5531220 5807781 6453090 6637464 7743708 8296830 8604120 9679635 11062440 11615562 12906180 15487416 16593660 19359270 23231124 25812360 29038905 33187320 38718540 46462248 58077810 77437080 116155620 232311240