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217040064 = 2631130417
BaseRepresentation
bin11001110111111…
…00010011000000
3120010101202222220
430323330103000
5421030240224
633311531040
75243544603
oct1473742300
9503352886
10217040064
1110157145a
1260829a80
1335c72397
1420b7a33a
15140c3279
hexcefc4c0

217040064 has 28 divisors (see below), whose sum is σ = 574252344. Its totient is φ = 72346624.

The previous prime is 217040051. The next prime is 217040069. The reversal of 217040064 is 460040712.

217040064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2170400642 = 94212778762248192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (217040069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 565017 + ... + 565400.

Almost surely, 2217040064 is an apocalyptic number.

217040064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

217040064 is an abundant number, since it is smaller than the sum of its proper divisors (357212280).

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

217040064 is a wasteful number, since it uses less digits than its factorization.

217040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130432 (or 1130422 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 217040064 is about 14732.2796606635. The cubic root of 217040064 is about 600.9614806575.

Adding to 217040064 its reverse (460040712), we get a palindrome (677080776).

The spelling of 217040064 in words is "two hundred seventeen million, forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1130417 2260834 3391251 4521668 6782502 9043336 13565004 18086672 27130008 36173344 54260016 72346688 108520032 217040064