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216753006 = 2383435247
BaseRepresentation
bin11001110101101…
…10001101101110
3120002212012020010
430322312031232
5420442044011
633301434050
75241240651
oct1472661556
9502765203
10216753006
11101395818
126070b926
1335ba1822
1420b03898
15140681a6
hexceb636e

216753006 has 16 divisors (see below), whose sum is σ = 438729984. Its totient is φ = 71380344.

The previous prime is 216752971. The next prime is 216753013. The reversal of 216753006 is 600357612.

It is a super-2 number, since 2×2167530062 = 93963731220072072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217126 + ... + 218121.

It is an arithmetic number, because the mean of its divisors is an integer number (27420624).

Almost surely, 2216753006 is an apocalyptic number.

216753006 is an abundant number, since it is smaller than the sum of its proper divisors (221976978).

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

216753006 is a wasteful number, since it uses less digits than its factorization.

216753006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435335.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 216753006 is about 14722.5339530938. The cubic root of 216753006 is about 600.6964191324.

The spelling of 216753006 in words is "two hundred sixteen million, seven hundred fifty-three thousand, six".

Divisors: 1 2 3 6 83 166 249 498 435247 870494 1305741 2611482 36125501 72251002 108376503 216753006