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224343060438 = 237172317537793
BaseRepresentation
bin1101000011101111100…
…0110110111111010110
3210110001212001021122110
43100323320312333112
512133423310413223
6251021202211450
722131300356460
oct3207370667726
9713055037573
10224343060438
1187163899872
1237590053b86
1318203711b53
14ac030dd130
155c8062cd93
hex343be36fd6

224343060438 has 128 divisors (see below), whose sum is σ = 566950275072. Its totient is φ = 57664290816.

The previous prime is 224343060301. The next prime is 224343060463. The reversal of 224343060438 is 834060343422.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224343060396 and 224343060405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28783870 + ... + 28791662.

It is an arithmetic number, because the mean of its divisors is an integer number (4429299024).

Almost surely, 2224343060438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224343060438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283475137536).

224343060438 is an abundant number, since it is smaller than the sum of its proper divisors (342607214634).

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

224343060438 is a wasteful number, since it uses less digits than its factorization.

224343060438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9598.

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 224343060438 in words is "two hundred twenty-four billion, three hundred forty-three million, sixty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 714 782 966 1173 1753 2346 2737 3506 5259 5474 7793 8211 10518 12271 15586 16422 23379 24542 29801 36813 40319 46758 54551 59602 73626 80638 89403 109102 120957 132481 163653 178806 179239 208607 241914 264962 282233 327306 358478 397443 417214 537717 564466 625821 685423 794886 846699 927367 1075434 1251642 1254673 1370846 1693398 1854734 2056269 2509346 2782101 3047063 3764019 4112538 4797961 5564202 6094126 7528038 9141189 9595922 13661129 14393883 18282378 21329441 27322258 28787766 40983387 42658882 63988323 81966774 95627903 127976646 191255806 232239193 286883709 314205967 464478386 573767418 628411934 696717579 942617901 1393435158 1625674351 1885235802 2199441769 3251348702 4398883538 4877023053 5341501439 6598325307 9754046106 10683002878 13196650614 16024504317 32049008634 37390510073 74781020146 112171530219 224343060438