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216122256 = 243672647
BaseRepresentation
bin11001110000111…
…00001110010000
3120001200011000000
430320130032100
5420311403011
633240130000
75233003020
oct1470341620
9501604000
10216122256
11100aa4939
1260466900
1335a106bc
14209bba80
1513e91356
hexce1c390

216122256 has 140 divisors (see below), whose sum is σ = 717777472. Its totient is φ = 61725888.

The previous prime is 216122243. The next prime is 216122261. The reversal of 216122256 is 652221612.

216122256 is a `hidden beast` number, since 21 + 612 + 2 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 80325 + ... + 82971.

Almost surely, 2216122256 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 216122256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358888736).

216122256 is an abundant number, since it is smaller than the sum of its proper divisors (501655216).

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

216122256 is an equidigital number, since it uses as much as digits as its factorization.

216122256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2659 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 216122256 is about 14701.0971019173. The cubic root of 216122256 is about 600.1131786496.

Adding to 216122256 its reverse (652221612), we get a palindrome (868343868).

The spelling of 216122256 in words is "two hundred sixteen million, one hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2647 2916 3024 3402 3888 4536 5103 5294 5832 6804 7941 9072 10206 10588 11664 13608 15882 18529 20412 21176 23823 27216 31764 37058 40824 42352 47646 55587 63528 71469 74116 81648 95292 111174 127056 142938 148232 166761 190584 214407 222348 285876 296464 333522 381168 428814 444696 500283 571752 643221 667044 857628 889392 1000566 1143504 1286442 1334088 1500849 1715256 1929663 2001132 2572884 2668176 3001698 3430512 3859326 4002264 4502547 5145768 6003396 7718652 8004528 9005094 10291536 12006792 13507641 15437304 18010188 24013584 27015282 30874608 36020376 54030564 72040752 108061128 216122256