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216212160 = 2635225221
BaseRepresentation
bin11001110001100…
…10001011000000
3120001211201022210
430320302023000
5420322242120
633242102120
75233526103
oct1470621300
9501751283
10216212160
1110105643a
12604aa940
1335a425b8
1420a0273a
1513eacce0
hexce322c0

216212160 has 56 divisors (see below), whose sum is σ = 686476656. Its totient is φ = 57656320.

The previous prime is 216212159. The next prime is 216212189. The reversal of 216212160 is 61212612.

216212160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 111651 + ... + 113570.

Almost surely, 2216212160 is an apocalyptic number.

216212160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216212160 is an abundant number, since it is smaller than the sum of its proper divisors (470264496).

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

216212160 is a wasteful number, since it uses less digits than its factorization.

216212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225241 (or 225231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 216212160 is about 14704.1545149662. The cubic root of 216212160 is about 600.1963801622.

Adding to 216212160 its reverse (61212612), we get a palindrome (277424772).

The spelling of 216212160 in words is "two hundred sixteen million, two hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 225221 450442 675663 900884 1126105 1351326 1801768 2252210 2702652 3378315 3603536 4504420 5405304 6756630 7207072 9008840 10810608 13513260 14414144 18017680 21621216 27026520 36035360 43242432 54053040 72070720 108106080 216212160