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216876820 = 22517637873
BaseRepresentation
bin11001110110101…
…00011100010100
3120010002111001211
430323110130110
5421010024240
633304231204
75242264636
oct1473243424
9503074054
10216876820
1110146a846
126076b504
1335c15ca4
1420b36a56
151408ebea
hexced4714

216876820 has 24 divisors (see below), whose sum is σ = 482232744. Its totient is φ = 81647616.

The previous prime is 216876799. The next prime is 216876823. The reversal of 216876820 is 28678612.

216876820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 97061904 + 119814916 = 9852^2 + 10946^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216876823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318597 + ... + 319276.

It is an arithmetic number, because the mean of its divisors is an integer number (20093031).

Almost surely, 2216876820 is an apocalyptic number.

216876820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216876820 is an abundant number, since it is smaller than the sum of its proper divisors (265355924).

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

216876820 is a wasteful number, since it uses less digits than its factorization.

216876820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637899 (or 637897 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 216876820 is about 14726.7382675187. The cubic root of 216876820 is about 600.8107742853.

The spelling of 216876820 in words is "two hundred sixteen million, eight hundred seventy-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 637873 1275746 2551492 3189365 6378730 10843841 12757460 21687682 43375364 54219205 108438410 216876820