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224003103312 = 243175914713163
BaseRepresentation
bin1101000010011110100…
…0000001101001010000
3210102012011100200010210
43100213220001221100
512132224243301222
6250523335524120
722120001651022
oct3204750015120
9712164320123
10224003103312
1186aa9a03a6a
12374b6229640
131817b163ba1
14abadcc8012
155c60879d0c
hex3427a01a50

224003103312 has 160 divisors (see below), whose sum is σ = 623720079360. Its totient is φ = 69015582720.

The previous prime is 224003103287. The next prime is 224003103353. The reversal of 224003103312 is 213301300422.

It is a congruent number.

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, 70818243 + ... + 70821405.

It is an arithmetic number, because the mean of its divisors is an integer number (3898250496).

Almost surely, 2224003103312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224003103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311860039680).

224003103312 is an abundant number, since it is smaller than the sum of its proper divisors (399716976048).

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

224003103312 is a wasteful number, since it uses less digits than its factorization.

224003103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 224003103312 its reverse (213301300422), we get a palindrome (437304403734).

The spelling of 224003103312 in words is "two hundred twenty-four billion, three million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 59 68 102 118 136 177 204 236 272 354 408 472 708 816 944 1003 1416 1471 2006 2832 2942 3009 3163 4012 4413 5884 6018 6326 8024 8826 9489 11768 12036 12652 16048 17652 18978 23536 24072 25007 25304 35304 37956 48144 50014 50608 53771 70608 75021 75912 86789 100028 107542 150042 151824 161313 173578 186617 200056 215084 260367 300084 322626 347156 373234 400112 430168 520734 559851 600168 645252 694312 746468 860336 1041468 1119702 1200336 1290504 1388624 1475413 1492936 2082936 2239404 2581008 2950826 2985872 3172489 4165872 4426239 4478808 4652773 5901652 6344978 8852478 8957616 9305546 9517467 11803304 12689956 13958319 17704956 18611092 19034934 23606608 25379912 27916638 35409912 37222184 38069868 50759824 55833276 70819824 74444368 76139736 79097141 111666552 152279472 158194282 223333104 237291423 274513607 316388564 474582846 549027214 632777128 823540821 949165692 1098054428 1265554256 1647081642 1898331384 2196108856 3294163284 3796662768 4392217712 4666731319 6588326568 9333462638 13176653136 14000193957 18666925276 28000387914 37333850552 56000775828 74667701104 112001551656 224003103312