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217921068 = 223241191773
BaseRepresentation
bin11001111110100…
…11011000101100
3120012001112111200
430333103120230
5421241433233
633342445500
75254204251
oct1477233054
9505045450
10217921068
11102013362
1260b93890
13361c03a1
1420d29428
15141e9313
hexcfd362c

217921068 has 72 divisors (see below), whose sum is σ = 567979776. Its totient is φ = 70406400.

The previous prime is 217921063. The next prime is 217921069. The reversal of 217921068 is 860129712.

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 (217921061) 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, 281530 + ... + 282302.

It is an arithmetic number, because the mean of its divisors is an integer number (7888608).

Almost surely, 2217921068 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 217921068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283989888).

217921068 is an abundant number, since it is smaller than the sum of its proper divisors (350058708).

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

217921068 is a wasteful number, since it uses less digits than its factorization.

217921068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 217921068 is about 14762.1498434341. The cubic root of 217921068 is about 601.7735192175.

The spelling of 217921068 in words is "two hundred seventeen million, nine hundred twenty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 191 246 369 382 492 573 738 764 773 1146 1476 1546 1719 2292 2319 3092 3438 4638 6876 6957 7831 9276 13914 15662 23493 27828 31324 31693 46986 63386 70479 93972 95079 126772 140958 147643 190158 281916 285237 295286 380316 442929 570474 590572 885858 1140948 1328787 1771716 2657574 5315148 6053363 12106726 18160089 24213452 36320178 54480267 72640356 108960534 217921068