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216352210221 = 3472371473257
BaseRepresentation
bin1100100101111110011…
…0001011110100101101
3202200102221212000220000
43021133212023310231
512021042131211341
6243220230414513
721426260305200
oct3113746136455
9680387760800
10216352210221
1183833200824
1235b1bb01439
131752c053604
14a685b37937
155963d3d8b6
hex325f98bd2d

216352210221 has 60 divisors (see below), whose sum is σ = 386120296188. Its totient is φ = 120288405888.

The previous prime is 216352210157. The next prime is 216352210223. The reversal of 216352210221 is 122012253612.

216352210221 is a `hidden beast` number, since 2 + 1 + 635 + 2 + 2 + 1 + 0 + 2 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188416764900 + 27935445321 = 434070^2 + 167139^2 .

It is not a de Polignac number, because 216352210221 - 26 = 216352210157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216352210223) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 589776 + ... + 883481.

Almost surely, 2216352210221 is an apocalyptic number.

216352210221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

216352210221 is a deficient number, since it is larger than the sum of its proper divisors (169768085967).

216352210221 is a wasteful number, since it uses less digits than its factorization.

216352210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473320 (or 1473304 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 216352210221 its reverse (122012253612), we get a palindrome (338364463833).

The spelling of 216352210221 in words is "two hundred sixteen billion, three hundred fifty-two million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 37 49 63 81 111 147 189 259 333 441 567 777 999 1323 1813 2331 2997 3969 5439 6993 16317 20979 48951 146853 1473257 4419771 10312799 13259313 30938397 39777939 54510509 72189593 92815191 119333817 163531527 216568779 278445573 381573563 490594581 649706337 835336719 1144720689 1471783743 1949119011 2671014941 3434162067 4415351229 5847357033 8013044823 10302486201 24039134469 30907458603 72117403407 216352210221