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217024113 = 3235216037
BaseRepresentation
bin11001110111110…
…00011001110001
3120010100222010010
430323320121301
5421024232423
633311325133
75243450235
oct1473703161
9503328103
10217024113
11101560479
12608207a9
1335c68047
1420b745c5
15140bd693
hexcef8671

217024113 has 16 divisors (see below), whose sum is σ = 302576256. Its totient is φ = 138103680.

The previous prime is 217024079. The next prime is 217024127. The reversal of 217024113 is 311420712.

It is a de Polignac number, because none of the positive numbers 2k-217024113 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 217024113.

It is not an unprimeable number, because it can be changed into a prime (217024183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32931 + ... + 38967.

It is an arithmetic number, because the mean of its divisors is an integer number (18911016).

Almost surely, 2217024113 is an apocalyptic number.

217024113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

217024113 is a deficient number, since it is larger than the sum of its proper divisors (85552143).

217024113 is a wasteful number, since it uses less digits than its factorization.

217024113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 217024113 is about 14731.7382884709. The cubic root of 217024113 is about 600.9467580739.

Adding to 217024113 its reverse (311420712), we get a palindrome (528444825).

The spelling of 217024113 in words is "two hundred seventeen million, twenty-four thousand, one hundred thirteen".

Divisors: 1 3 23 69 521 1563 6037 11983 18111 35949 138851 416553 3145277 9435831 72341371 217024113