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231274440 = 23345411741
BaseRepresentation
bin11011100100011…
…11011111001000
3121010011221220000
431302033133020
5433201240230
634541003000
75505541335
oct1562173710
9533157800
10231274440
11109603a01
1265553460
1338bb73a7
1422a0398c
1515485b60
hexdc8f7c8

231274440 has 160 divisors (see below), whose sum is σ = 796755960. Its totient is φ = 60134400.

The previous prime is 231274427. The next prime is 231274471. The reversal of 231274440 is 44472132.

It can be written as a sum of positive squares in 4 ways, for example, as 43639236 + 187635204 = 6606^2 + 13698^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 131970 + ... + 133710.

Almost surely, 2231274440 is an apocalyptic number.

231274440 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 231274440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398377980).

231274440 is an abundant number, since it is smaller than the sum of its proper divisors (565481520).

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

231274440 is a wasteful number, since it uses less digits than its factorization.

231274440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 231274440 is about 15207.7098867647. The cubic root of 231274440 is about 613.8221358076.

The spelling of 231274440 in words is "two hundred thirty-one million, two hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1080 1107 1230 1476 1620 1640 1741 1845 2214 2460 2952 3240 3321 3482 3690 4428 4920 5223 5535 6642 6964 7380 8705 8856 10446 11070 13284 13928 14760 15669 16605 17410 20892 22140 26115 26568 31338 33210 34820 41784 44280 47007 52230 62676 66420 69640 71381 78345 94014 104460 125352 132840 141021 142762 156690 188028 208920 214143 235035 282042 285524 313380 356905 376056 428286 470070 564084 571048 626760 642429 705105 713810 856572 940140 1070715 1128168 1284858 1410210 1427620 1713144 1880280 1927287 2141430 2569716 2820420 2855240 3212145 3854574 4282860 5139432 5640840 5781861 6424290 7709148 8565720 9636435 11563722 12848580 15418296 19272870 23127444 25697160 28909305 38545740 46254888 57818610 77091480 115637220 231274440