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216683064 = 2332131811279
BaseRepresentation
bin11001110101001…
…01001000111000
3120002201122021200
430322211020320
5420432324224
633300134200
75240530023
oct1472451070
9502648250
10216683064
11101348214
1260697360
1335b78a40
1420ac61ba
15140525c9
hexcea5238

216683064 has 96 divisors (see below), whose sum is σ = 635980800. Its totient is φ = 66251520.

The previous prime is 216682993. The next prime is 216683081. The reversal of 216683064 is 460386612.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168777 + ... + 170055.

It is an arithmetic number, because the mean of its divisors is an integer number (6624800).

Almost surely, 2216683064 is an apocalyptic number.

216683064 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 216683064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317990400).

216683064 is an abundant number, since it is smaller than the sum of its proper divisors (419297736).

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

216683064 is a wasteful number, since it uses less digits than its factorization.

216683064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 216683064 is about 14720.1584230605. The cubic root of 216683064 is about 600.6318011453.

The spelling of 216683064 in words is "two hundred sixteen million, six hundred eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 181 234 312 362 468 543 724 936 1086 1279 1448 1629 2172 2353 2558 3258 3837 4344 4706 5116 6516 7059 7674 9412 10232 11511 13032 14118 15348 16627 18824 21177 23022 28236 30696 33254 42354 46044 49881 56472 66508 84708 92088 99762 133016 149643 169416 199524 231499 299286 399048 462998 598572 694497 925996 1197144 1388994 1851992 2083491 2777988 3009487 4166982 5555976 6018974 8333964 9028461 12037948 16667928 18056922 24075896 27085383 36113844 54170766 72227688 108341532 216683064