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216382656 = 26371311229
BaseRepresentation
bin11001110010110…
…11110011000000
3120002011101012110
430321123303000
5420343221111
633245455320
75235136140
oct1471336300
9502141173
10216382656
11101162546
1260571540
1335aa2099
1420a48920
1513ee35a6
hexce5bcc0

216382656 has 112 divisors (see below), whose sum is σ = 659831040. Its totient is φ = 61301760.

The previous prime is 216382637. The next prime is 216382669. The reversal of 216382656 is 656283612.

216382656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2163826562 = 93642907635228672, which contains 22 as substring.

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, 175450 + ... + 176678.

Almost surely, 2216382656 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 216382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329915520).

216382656 is an abundant number, since it is smaller than the sum of its proper divisors (443448384).

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

216382656 is a wasteful number, since it uses less digits than its factorization.

216382656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1372 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 216382656 is about 14709.9509176611. The cubic root of 216382656 is about 600.3541020895.

The spelling of 216382656 in words is "two hundred sixteen million, three hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 131 168 192 224 262 336 393 448 524 672 786 917 1048 1229 1344 1572 1834 2096 2458 2751 3144 3668 3687 4192 4916 5502 6288 7336 7374 8384 8603 9832 11004 12576 14672 14748 17206 19664 22008 25152 25809 29344 29496 34412 39328 44016 51618 58688 58992 68824 78656 88032 103236 117984 137648 160999 176064 206472 235968 275296 321998 412944 482997 550592 643996 825888 965994 1126993 1287992 1651776 1931988 2253986 2575984 3380979 3863976 4507972 5151968 6761958 7727952 9015944 10303936 13523916 15455904 18031888 27047832 30911808 36063776 54095664 72127552 108191328 216382656