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224331240 = 23357299209
BaseRepresentation
bin11010101111100…
…00010111101000
3120122010012121110
431113300113220
5424412044430
634132110320
75362532640
oct1527602750
9518105543
10224331240
111056a1421
12631653a0
1337625ca3
1421b17520
1514a637b0
hexd5f05e8

224331240 has 128 divisors (see below), whose sum is σ = 795744000. Its totient is φ = 49502208.

The previous prime is 224331229. The next prime is 224331257. The reversal of 224331240 is 42133422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19756 + ... + 28964.

It is an arithmetic number, because the mean of its divisors is an integer number (6216750).

Almost surely, 2224331240 is an apocalyptic number.

224331240 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 224331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397872000).

224331240 is an abundant number, since it is smaller than the sum of its proper divisors (571412760).

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

224331240 is a wasteful number, since it uses less digits than its factorization.

224331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9259 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 224331240 is about 14977.6914108951. The cubic root of 224331240 is about 607.6170040010.

Adding to 224331240 its reverse (42133422), we get a palindrome (266464662).

The spelling of 224331240 in words is "two hundred twenty-four million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4872 6090 8120 9209 12180 18418 24360 27627 36836 46045 55254 64463 73672 92090 110508 128926 138135 184180 193389 221016 257852 267061 276270 322315 368360 386778 515704 534122 552540 644630 773556 801183 966945 1068244 1105080 1289260 1335305 1547112 1602366 1869427 1933890 2136488 2578520 2670610 3204732 3738854 3867780 4005915 5341220 5608281 6409464 7477708 7735560 8011830 9347135 10682440 11216562 14955416 16023660 18694270 22433124 28041405 32047320 37388540 44866248 56082810 74777080 112165620 224331240