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216308556 = 22344311549
BaseRepresentation
bin11001110010010…
…01101101001100
3120002000121120000
430321021231030
5420333333211
633244124300
75234410122
oct1471115514
9502017500
10216308556
11101111902
1260536690
1335a77439
1420a29912
1513ecb656
hexce49b4c

216308556 has 60 divisors (see below), whose sum is σ = 567151200. Its totient is φ = 71889120.

The previous prime is 216308539. The next prime is 216308627. The reversal of 216308556 is 655803612.

216308556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216308556.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138870 + ... + 140418.

It is an arithmetic number, because the mean of its divisors is an integer number (9452520).

Almost surely, 2216308556 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 216308556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283575600).

216308556 is an abundant number, since it is smaller than the sum of its proper divisors (350842644).

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

216308556 is a wasteful number, since it uses less digits than its factorization.

216308556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 216308556 is about 14707.4319988229. The cubic root of 216308556 is about 600.2855640670.

The spelling of 216308556 in words is "two hundred sixteen million, three hundred eight thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 431 862 1293 1549 1724 2586 3098 3879 4647 5172 6196 7758 9294 11637 13941 15516 18588 23274 27882 34911 41823 46548 55764 69822 83646 125469 139644 167292 250938 501876 667619 1335238 2002857 2670476 4005714 6008571 8011428 12017142 18025713 24034284 36051426 54077139 72102852 108154278 216308556