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216605064 = 233135313099
BaseRepresentation
bin11001110100100…
…10000110001000
3120002120200021210
430322102012020
5420422330224
633254333120
75240053434
oct1472220610
9502520253
10216605064
111012a4655
126065a1a0
1335b4c3a0
1420aa59c4
1514039429
hexce92188

216605064 has 64 divisors (see below), whose sum is σ = 594216000. Its totient is φ = 65385216.

The previous prime is 216605063. The next prime is 216605069. The reversal of 216605064 is 460506612.

It is not an unprimeable number, because it can be changed into a prime (216605063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9987 + ... + 23085.

It is an arithmetic number, because the mean of its divisors is an integer number (9284625).

Almost surely, 2216605064 is an apocalyptic number.

216605064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216605064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297108000).

216605064 is an abundant number, since it is smaller than the sum of its proper divisors (377610936).

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

216605064 is a wasteful number, since it uses less digits than its factorization.

216605064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13174 (or 13170 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 216605064 is about 14717.5087565797. The cubic root of 216605064 is about 600.5597221340.

The spelling of 216605064 in words is "two hundred sixteen million, six hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 4134 5512 8268 13099 16536 26198 39297 52396 78594 104792 157188 170287 314376 340574 510861 681148 694247 1021722 1362296 1388494 2043444 2082741 2776988 4086888 4165482 5553976 8330964 9025211 16661928 18050422 27075633 36100844 54151266 72201688 108302532 216605064