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224440343040 = 2935171719059
BaseRepresentation
bin1101000100000110101…
…1111101101000000000
3210110022122002202021210
43101001223331220000
512134123211434130
6251034555250120
722133561303304
oct3210153755000
9713278082253
10224440343040
11872037a4711
12375b8749940
131821a913814
14ac11dc3d04
155c88e475b0
hex3441afda00

224440343040 has 160 divisors (see below), whose sum is σ = 759714500160. Its totient is φ = 56330092544.

The previous prime is 224440343003. The next prime is 224440343051. The reversal of 224440343040 is 40343044422.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224440342989 and 224440343007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728970 + ... + 990089.

It is an arithmetic number, because the mean of its divisors is an integer number (4748215626).

Almost surely, 2224440343040 is an apocalyptic number.

224440343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224440343040 is an abundant number, since it is smaller than the sum of its proper divisors (535274157120).

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

224440343040 is a wasteful number, since it uses less digits than its factorization.

224440343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719102 (or 1719086 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 224440343040 its reverse (40343044422), we get a palindrome (264783387462).

The spelling of 224440343040 in words is "two hundred twenty-four billion, four hundred forty million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4352 5440 6528 7680 8160 8704 10880 13056 16320 21760 26112 32640 43520 65280 130560 1719059 3438118 5157177 6876236 8595295 10314354 13752472 17190590 20628708 25785885 27504944 29224003 34381180 41257416 51571770 55009888 58448006 68762360 82514832 87672009 103143540 110019776 116896012 137524720 146120015 165029664 175344018 206287080 220039552 233792024 275049440 292240030 330059328 350688036 412574160 438360045 440079104 467584048 550098880 584480060 660118656 701376072 825148320 876720090 880158208 935168096 1100197760 1168960120 1320237312 1402752144 1650296640 1753440180 1870336192 2200395520 2337920240 2640474624 2805504288 3300593280 3506880360 3740672384 4400791040 4675840480 5611008576 6601186560 7013760720 7481344768 9351680960 11222017152 13202373120 14027521440 14962689536 18703361920 22444034304 28055042880 37406723840 44888068608 56110085760 74813447680 112220171520 224440343040