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2216522944 = 266773297
BaseRepresentation
bin1000010000011101…
…0111010011000000
312201110210000212101
42010013113103000
514014412213234
61003535440144
7105633064006
oct20407272300
95643700771
102216522944
11a38195549
1251a386054
1329429824c
1417053ca76
15ce8d2814
hex841d74c0

2216522944 has 84 divisors (see below), whose sum is σ = 4572710184. Its totient is φ = 1065664512.

The previous prime is 2216522921. The next prime is 2216522947. The reversal of 2216522944 is 4492256122.

It is a super-2 number, since 2×22165229442 = 9825947922556854272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2216522947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22850704 + ... + 22850800.

It is an arithmetic number, because the mean of its divisors is an integer number (54437026).

Almost surely, 22216522944 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 2216522944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286355092).

2216522944 is an abundant number, since it is smaller than the sum of its proper divisors (2356187240).

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

2216522944 is an frugal number, since it uses more digits than its factorization.

2216522944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 239 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 2216522944 is about 47079.9632965023. The cubic root of 2216522944 is about 1303.8393293201.

The spelling of 2216522944 in words is "two billion, two hundred sixteen million, five hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 73 97 134 146 194 268 292 388 536 584 776 1072 1168 1552 2144 2336 3104 4288 4672 4891 5329 6208 6499 7081 9782 10658 12998 14162 19564 21316 25996 28324 39128 42632 51992 56648 78256 85264 103984 113296 156512 170528 207968 226592 313024 341056 357043 415936 453184 474427 516913 714086 948854 1033826 1428172 1897708 2067652 2856344 3795416 4135304 5712688 7590832 8270608 11425376 15181664 16541216 22850752 30363328 33082432 34633171 69266342 138532684 277065368 554130736 1108261472 2216522944