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216107696 = 2473167929
BaseRepresentation
bin11001110000110…
…00101010110000
3120001122102000202
430320120222300
5420310421241
633235534332
75232612410
oct1470305260
9501572022
10216107696
11100a94a02
126045a3a8
1335a06b9c
14209b6640
1513e8bd9b
hexce18ab0

216107696 has 80 divisors (see below), whose sum is σ = 501872640. Its totient is φ = 88197120.

The previous prime is 216107693. The next prime is 216107707. The reversal of 216107696 is 696701612.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (216107693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232160 + ... + 233088.

It is an arithmetic number, because the mean of its divisors is an integer number (6273408).

Almost surely, 2216107696 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 216107696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250936320).

216107696 is an abundant number, since it is smaller than the sum of its proper divisors (285764944).

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

216107696 is a wasteful number, since it uses less digits than its factorization.

216107696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 216107696 is about 14700.6018924396. The cubic root of 216107696 is about 600.0997019501.

The spelling of 216107696 in words is "two hundred sixteen million, one hundred seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 67 112 124 134 217 248 268 434 469 496 536 868 929 938 1072 1736 1858 1876 2077 3472 3716 3752 4154 6503 7432 7504 8308 13006 14539 14864 16616 26012 28799 29078 33232 52024 57598 58156 62243 104048 115196 116312 124486 201593 230392 232624 248972 403186 435701 460784 497944 806372 871402 995888 1612744 1742804 1929533 3225488 3485608 3859066 6971216 7718132 13506731 15436264 27013462 30872528 54026924 108053848 216107696