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216000837 = 3413205129
BaseRepresentation
bin11001101111111…
…10100101000101
3120001102222110000
430313332211011
5420244011322
633233351513
75231656023
oct1467764505
9501388400
10216000837
11100a21698
1260408599
133599a360
1420989713
1513e6a3ac
hexcdfe945

216000837 has 20 divisors (see below), whose sum is σ = 347490220. Its totient is φ = 132922944.

The previous prime is 216000803. The next prime is 216000859. The reversal of 216000837 is 738000612.

216000837 is a `hidden beast` number, since 21 + 600 + 0 + 8 + 37 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19131876 + 196868961 = 4374^2 + 14031^2 .

It is not a de Polignac number, because 216000837 - 28 = 216000581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 216000837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216000887) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 101512 + ... + 103617.

It is an arithmetic number, because the mean of its divisors is an integer number (17374511).

Almost surely, 2216000837 is an apocalyptic number.

216000837 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

216000837 is a deficient number, since it is larger than the sum of its proper divisors (131489383).

216000837 is a wasteful number, since it uses less digits than its factorization.

216000837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205154 (or 205145 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 216000837 is about 14696.9669319897. The cubic root of 216000837 is about 600.0007749990. Note that the first 3 decimals are identical.

The spelling of 216000837 in words is "two hundred sixteen million, eight hundred thirty-seven", and thus it is an aban number.

Divisors: 1 3 9 13 27 39 81 117 351 1053 205129 615387 1846161 2666677 5538483 8000031 16615449 24000093 72000279 216000837