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231121440 = 253251114591
BaseRepresentation
bin11011100011010…
…10001000100000
3121002220012000100
431301222020200
5433131341230
634533422400
75504333304
oct1561521040
9532805010
10231121440
11109509a60
126549aa00
1338b62864
14229a3d04
1515455660
hexdc6a220

231121440 has 144 divisors (see below), whose sum is σ = 860461056. Its totient is φ = 56025600.

The previous prime is 231121417. The next prime is 231121447. The reversal of 231121440 is 44121132.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (231121447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8545 + ... + 23135.

It is an arithmetic number, because the mean of its divisors is an integer number (5975424).

Almost surely, 2231121440 is an apocalyptic number.

231121440 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 231121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430230528).

231121440 is an abundant number, since it is smaller than the sum of its proper divisors (629339616).

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

231121440 is a wasteful number, since it uses less digits than its factorization.

231121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14623 (or 14612 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 231121440 is about 15202.6787113324. The cubic root of 231121440 is about 613.6867475877.

Adding to 231121440 its reverse (44121132), we get a palindrome (275242572).

The spelling of 231121440 in words is "two hundred thirty-one million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 14591 15840 29182 43773 58364 72955 87546 116728 131319 145910 160501 175092 218865 233456 262638 291820 321002 350184 437730 466912 481503 525276 583640 642004 656595 700368 802505 875460 963006 1050552 1167280 1284008 1313190 1400736 1444509 1605010 1750920 1926012 2101104 2334560 2407515 2568016 2626380 2889018 3210020 3501840 3852024 4202208 4815030 5136032 5252760 5778036 6420040 7003680 7222545 7704048 9630060 10505520 11556072 12840080 14445090 15408096 19260120 21011040 23112144 25680160 28890180 38520240 46224288 57780360 77040480 115560720 231121440