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216229284 = 223343101461
BaseRepresentation
bin11001110001101…
…10010110100100
3120001212120211000
430320312112210
5420323314114
633242313300
75233630035
oct1470662644
9501776730
10216229284
11101068297
12604b8830
1335a4a32b
1420a08a8c
1513eb2e09
hexce365a4

216229284 has 96 divisors (see below), whose sum is σ = 580567680. Its totient is φ = 69552000.

The previous prime is 216229261. The next prime is 216229289. The reversal of 216229284 is 482922612.

216229284 is a `hidden beast` number, since 2 + 1 + 622 + 9 + 28 + 4 = 666.

216229284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216229289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468814 + ... + 469274.

It is an arithmetic number, because the mean of its divisors is an integer number (6047580).

Almost surely, 2216229284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216229284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290283840).

216229284 is an abundant number, since it is smaller than the sum of its proper divisors (364338396).

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

216229284 is a wasteful number, since it uses less digits than its factorization.

216229284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 216229284 is about 14704.7367878517. The cubic root of 216229284 is about 600.2122249255.

The spelling of 216229284 in words is "two hundred sixteen million, two hundred twenty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 101 108 129 172 202 258 303 387 404 461 516 606 774 909 922 1161 1212 1383 1548 1818 1844 2322 2727 2766 3636 4149 4343 4644 5454 5532 8298 8686 10908 12447 13029 16596 17372 19823 24894 26058 39087 39646 46561 49788 52116 59469 78174 79292 93122 117261 118938 139683 156348 178407 186244 234522 237876 279366 356814 419049 469044 535221 558732 713628 838098 1070442 1257147 1676196 2002123 2140884 2514294 4004246 5028588 6006369 8008492 12012738 18019107 24025476 36038214 54057321 72076428 108114642 216229284