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220334113044 = 223229478354101
BaseRepresentation
bin1100110100110011101…
…1111100000100010100
3210001201110111122200100
43031030323330010110
512102221013104134
6245115312414100
721630041026263
oct3151473740424
9701643448610
10220334113044
1185496954301
1236851547330
1317a14ca9a26
14a9428da5da
155ae86db999
hex334cefc114

220334113044 has 144 divisors (see below), whose sum is σ = 595520190720. Its totient is φ = 68565907200.

The previous prime is 220334113039. The next prime is 220334113061. The reversal of 220334113044 is 440311433022.

220334113044 is a `hidden beast` number, since 2 + 20 + 334 + 1 + 1 + 304 + 4 = 666.

220334113044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220334112999 and 220334113017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4045594 + ... + 4099694.

It is an arithmetic number, because the mean of its divisors is an integer number (4135556880).

Almost surely, 2220334113044 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 220334113044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297760095360).

220334113044 is an abundant number, since it is smaller than the sum of its proper divisors (375186077676).

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

220334113044 is a wasteful number, since it uses less digits than its factorization.

220334113044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54270 (or 54265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 220334113044 its reverse (440311433022), we get a palindrome (660645546066).

The spelling of 220334113044 in words is "two hundred twenty billion, three hundred thirty-four million, one hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 47 58 83 87 94 116 141 166 174 188 249 261 282 332 348 423 498 522 564 747 846 996 1044 1363 1494 1692 2407 2726 2988 3901 4089 4814 5452 7221 7802 8178 9628 11703 12267 14442 15604 16356 21663 23406 24534 28884 35109 43326 46812 49068 54101 70218 86652 108202 113129 140436 162303 216404 226258 324606 339387 452516 486909 649212 678774 973818 1018161 1357548 1568929 1947636 2036322 2542747 3137858 4072644 4490383 4706787 5085494 6275716 7628241 8980766 9413574 10170988 13471149 14120361 15256482 17961532 18827148 22884723 26942298 28240722 30512964 40413447 45769446 53884596 56481444 73739663 80826894 91538892 130221107 147479326 161653788 211048001 221218989 260442214 294958652 390663321 422096002 442437978 520884428 633144003 663656967 781326642 844192004 884875956 1171989963 1266288006 1327313934 1562653284 1899432009 2343979926 2532576012 2654627868 3798864018 4687959852 6120392029 7597728036 12240784058 18361176087 24481568116 36722352174 55083528261 73444704348 110167056522 220334113044