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216393936 = 2431123103173
BaseRepresentation
bin11001110010111…
…10100011010000
3120002011221200020
430321132203100
5420344101221
633250023440
75235214053
oct1471364320
9502157606
10216393936
1110116aa70
1260577b80
1335aa7265
1420a4ca9a
1513ee6ac6
hexce5e8d0

216393936 has 160 divisors (see below), whose sum is σ = 646244352. Its totient is φ = 61754880.

The previous prime is 216393929. The next prime is 216393937. The reversal of 216393936 is 639393612.

216393936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216393937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250746 + ... + 1250918.

Almost surely, 2216393936 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 216393936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323122176).

216393936 is an abundant number, since it is smaller than the sum of its proper divisors (429850416).

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

216393936 is a wasteful number, since it uses less digits than its factorization.

216393936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 157464, while the sum is 42.

The square root of 216393936 is about 14710.3343265882. The cubic root of 216393936 is about 600.3645340356.

The spelling of 216393936 in words is "two hundred sixteen million, three hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 103 132 138 173 176 184 206 253 264 276 309 346 368 412 506 519 528 552 618 692 759 824 1012 1038 1104 1133 1236 1384 1518 1648 1903 2024 2076 2266 2369 2472 2768 3036 3399 3806 3979 4048 4152 4532 4738 4944 5709 6072 6798 7107 7612 7958 8304 9064 9476 11418 11937 12144 13596 14214 15224 15916 17819 18128 18952 22836 23874 26059 27192 28428 30448 31832 35638 37904 43769 45672 47748 52118 53457 54384 56856 63664 71276 78177 87538 91344 95496 104236 106914 113712 131307 142552 156354 175076 190992 196009 208472 213828 262614 285104 312708 350152 392018 409837 416944 427656 525228 588027 625416 700304 784036 819674 855312 1050456 1176054 1229511 1250832 1568072 1639348 2100912 2352108 2459022 3136144 3278696 4508207 4704216 4918044 6557392 9016414 9408432 9836088 13524621 18032828 19672176 27049242 36065656 54098484 72131312 108196968 216393936