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216472212 = 223211661827
BaseRepresentation
bin11001110011100…
…01101010010100
3120002022221001100
430321301222110
5420404102322
633251430100
75235661215
oct1471615224
9502287040
10216472212
11101213860
12605b5330
1335b03a88
1420a6d40c
151400edac
hexce71a94

216472212 has 72 divisors (see below), whose sum is σ = 598564512. Its totient is φ = 65419200.

The previous prime is 216472181. The next prime is 216472213. The reversal of 216472212 is 212274612.

216472212 is a `hidden beast` number, since 2 + 1 + 647 + 2 + 2 + 12 = 666.

216472212 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 (216472213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261343 + ... + 262169.

It is an arithmetic number, because the mean of its divisors is an integer number (8313396).

Almost surely, 2216472212 is an apocalyptic number.

216472212 is a gapful number since it is divisible by the number (22) 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 216472212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299282256).

216472212 is an abundant number, since it is smaller than the sum of its proper divisors (382092300).

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

216472212 is a wasteful number, since it uses less digits than its factorization.

216472212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1504 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 216472212 is about 14712.9946645814. The cubic root of 216472212 is about 600.4369150981.

The spelling of 216472212 in words is "two hundred sixteen million, four hundred seventy-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 661 827 1322 1654 1983 2481 2644 3308 3966 4962 5949 7271 7443 7932 9097 9924 11898 14542 14886 18194 21813 23796 27291 29084 29772 36388 43626 54582 65439 81873 87252 109164 130878 163746 261756 327492 546647 1093294 1639941 2186588 3279882 4919823 6013117 6559764 9839646 12026234 18039351 19679292 24052468 36078702 54118053 72157404 108236106 216472212