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221042514 = 237113767193
BaseRepresentation
bin11010010110011…
…01011101010010
3120101221010022210
431023031131102
5423041330024
633533412550
75322554550
oct1513153522
9511833283
10221042514
11103855570
126203a156
1336a440b4
14214dcbd0
1514614129
hexd2cd752

221042514 has 128 divisors (see below), whose sum is σ = 577492992. Its totient is φ = 54743040.

The previous prime is 221042509. The next prime is 221042519. The reversal of 221042514 is 415240122.

221042514 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221042509) and next prime (221042519).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221042519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145202 + ... + 1145394.

It is an arithmetic number, because the mean of its divisors is an integer number (4511664).

Almost surely, 2221042514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221042514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288746496).

221042514 is an abundant number, since it is smaller than the sum of its proper divisors (356450478).

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

221042514 is a wasteful number, since it uses less digits than its factorization.

221042514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 221042514 is about 14867.4985791155. The cubic root of 221042514 is about 604.6331259309.

Adding to 221042514 its reverse (415240122), we get a palindrome (636282636).

The spelling of 221042514 in words is "two hundred twenty-one million, forty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 67 74 77 111 134 154 193 201 222 231 259 386 402 407 462 469 518 579 737 777 814 938 1158 1221 1351 1407 1474 1554 2123 2211 2442 2479 2702 2814 2849 4053 4246 4422 4958 5159 5698 6369 7141 7437 8106 8547 10318 12738 12931 14282 14861 14874 15477 17094 17353 21423 25862 27269 29722 30954 34706 38793 42846 44583 49987 52059 54538 77586 78551 81807 89166 90517 99974 104118 142241 149961 157102 163614 181034 190883 235653 271551 284482 299922 381766 426723 471306 478447 543102 549857 572649 853446 956894 995687 1099714 1145298 1435341 1649571 1991374 2870682 2987061 3299142 3349129 5262917 5974122 6698258 10047387 10525834 15788751 20094774 31577502 36840419 73680838 110521257 221042514