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220041022112 = 251715113731951
BaseRepresentation
bin1100110011101101110…
…1111000101010100000
3210000222001000002111122
43030323131320222200
512101121000201422
6245030242431412
721616551553622
oct3147335705240
9700861002448
10220041022112
118535646979a
123678b362568
131799935a942
14a915a04c12
155accae4d42
hex333b778aa0

220041022112 has 96 divisors (see below), whose sum is σ = 462299249664. Its totient is φ = 102735360000.

The previous prime is 220041022099. The next prime is 220041022171. The reversal of 220041022112 is 211220140022.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 112782737 + ... + 112784687.

It is an arithmetic number, because the mean of its divisors is an integer number (4815617184).

Almost surely, 2220041022112 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 220041022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231149624832).

220041022112 is an abundant number, since it is smaller than the sum of its proper divisors (242258227552).

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

220041022112 is a wasteful number, since it uses less digits than its factorization.

220041022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220041022112 its reverse (211220140022), we get a palindrome (431261162134).

The spelling of 220041022112 in words is "two hundred twenty billion, forty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 151 272 302 544 604 1208 1373 1951 2416 2567 2746 3902 4832 5134 5492 7804 10268 10984 15608 20536 21968 23341 31216 33167 41072 43936 46682 62432 66334 82144 93364 132668 186728 207323 265336 294601 373456 414646 530672 589202 746912 829292 1061344 1178404 1658584 2356808 2678723 3317168 3524491 4713616 5008217 5357446 6634336 7048982 9427232 10016434 10714892 14097964 20032868 21429784 28195928 40065736 42859568 45538291 56391856 80131472 85719136 91076582 112783712 160262944 182153164 364306328 404487173 728612656 808974346 1457225312 1617948692 3235897384 6471794768 6876281941 12943589536 13752563882 27505127764 55010255528 110020511056 220041022112