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216387105 = 351119233001
BaseRepresentation
bin11001110010111…
…00111000100001
3120002011121022020
430321130320201
5420343341410
633245532053
75235155124
oct1471347041
9502147266
10216387105
11101165920
1260574029
1335aa410c
1420a4a3bb
1513ee4a70
hexce5ce21

216387105 has 64 divisors (see below), whose sum is σ = 414996480. Its totient is φ = 95040000.

The previous prime is 216387089. The next prime is 216387109. The reversal of 216387105 is 501783612.

216387105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216387105 - 24 = 216387089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216387109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70605 + ... + 73605.

It is an arithmetic number, because the mean of its divisors is an integer number (6484320).

Almost surely, 2216387105 is an apocalyptic number.

It is an amenable number.

216387105 is a deficient number, since it is larger than the sum of its proper divisors (198609375).

216387105 is a wasteful number, since it uses less digits than its factorization.

216387105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 216387105 is about 14710.1021410458. The cubic root of 216387105 is about 600.3582166477.

The spelling of 216387105 in words is "two hundred sixteen million, three hundred eighty-seven thousand, one hundred five".

Divisors: 1 3 5 11 15 19 23 33 55 57 69 95 115 165 209 253 285 345 437 627 759 1045 1265 1311 2185 3001 3135 3795 4807 6555 9003 14421 15005 24035 33011 45015 57019 69023 72105 99033 165055 171057 207069 285095 345115 495165 627209 759253 855285 1035345 1311437 1881627 2277759 3136045 3796265 3934311 6557185 9408135 11388795 14425807 19671555 43277421 72129035 216387105