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217363068 = 223313211909
BaseRepresentation
bin11001111010010…
…11001001111100
3120011000012002000
430331023021330
5421121104233
633322502300
75246361366
oct1475131174
9504005060
10217363068
111017720aa
1260964990
1336056400
1420c21d36
1514138d13
hexcf4b27c

217363068 has 72 divisors (see below), whose sum is σ = 610268400. Its totient is φ = 66875328.

The previous prime is 217363051. The next prime is 217363079. The reversal of 217363068 is 860363712.

It is a happy number.

217363068 is a `hidden beast` number, since 2 + 17 + 3 + 630 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12298 + ... + 24206.

It is an arithmetic number, because the mean of its divisors is an integer number (8475950).

Almost surely, 2217363068 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 217363068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305134200).

217363068 is an abundant number, since it is smaller than the sum of its proper divisors (392905332).

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

217363068 is a wasteful number, since it uses less digits than its factorization.

217363068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11948 (or 11927 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 217363068 is about 14743.2380432522. The cubic root of 217363068 is about 601.2594544411.

The spelling of 217363068 in words is "two hundred seventeen million, three hundred sixty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 9126 11909 18252 23818 35727 47636 71454 107181 142908 154817 214362 309634 321543 428724 464451 619268 643086 928902 1286172 1393353 1857804 2012621 2786706 4025242 4180059 5573412 6037863 8050484 8360118 12075726 16720236 18113589 24151452 36227178 54340767 72454356 108681534 217363068