Search a number
-
+
216471906 = 23372233557
BaseRepresentation
bin11001110011100…
…01100101100010
3120002022220122000
430321301211202
5420404100111
633251424430
75235660300
oct1471614542
9502286560
10216471906
11101213602
12605b5116
1335b038b1
1420a6d270
151400ec56
hexce71962

216471906 has 96 divisors (see below), whose sum is σ = 584081280. Its totient is φ = 59143392.

The previous prime is 216471851. The next prime is 216471911. The reversal of 216471906 is 609174612.

216471906 is a `hidden beast` number, since 2 + 1 + 647 + 1 + 9 + 0 + 6 = 666.

216471906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59080 + ... + 62636.

It is an arithmetic number, because the mean of its divisors is an integer number (6084180).

Almost surely, 2216471906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216471906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292040640).

216471906 is an abundant number, since it is smaller than the sum of its proper divisors (367609374).

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

216471906 is a wasteful number, since it uses less digits than its factorization.

216471906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 216471906 is about 14712.9842656070. The cubic root of 216471906 is about 600.4366321768.

The spelling of 216471906 in words is "two hundred sixteen million, four hundred seventy-one thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 98 126 138 147 161 189 207 294 322 378 414 441 483 621 882 966 1127 1242 1323 1449 2254 2646 2898 3381 3557 4347 6762 7114 8694 10143 10671 20286 21342 24899 30429 32013 49798 60858 64026 74697 81811 96039 149394 163622 174293 192078 224091 245433 348586 448182 490866 522879 572677 672273 736299 1045758 1145354 1344546 1472598 1568637 1718031 2208897 3137274 3436062 4008739 4417794 4705911 5154093 8017478 9411822 10308186 12026217 15462279 24052434 30924558 36078651 72157302 108235953 216471906