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16819201 = 72379277
BaseRepresentation
bin100000000101…
…0010000000001
31011122111121101
41000022100001
513301203301
61400254401
7262650400
oct100122001
934574541
1016819201
119548573
125771401
13363b6b9
14233b637
151723701
hex100a401

16819201 has 12 divisors (see below), whose sum is σ = 20096148. Its totient is φ = 14025312.

The previous prime is 16819183. The next prime is 16819207. The reversal of 16819201 is 10291861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14447601 + 2371600 = 3801^2 + 1540^2 .

It is not a de Polignac number, because 16819201 - 25 = 16819169 is a prime.

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 16819201.

It is not an unprimeable number, because it can be changed into a prime (16819207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2826 + ... + 6451.

It is an arithmetic number, because the mean of its divisors is an integer number (1674679).

Almost surely, 216819201 is an apocalyptic number.

It is an amenable number.

16819201 is a deficient number, since it is larger than the sum of its proper divisors (3276947).

16819201 is an equidigital number, since it uses as much as digits as its factorization.

16819201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 16819201 is about 4101.1219196703. The cubic root of 16819201 is about 256.2133688665.

It can be divided in two parts, 16819 and 201, that added together give a triangular number (17020 = T184).

The spelling of 16819201 in words is "sixteen million, eight hundred nineteen thousand, two hundred one".

Divisors: 1 7 37 49 259 1813 9277 64939 343249 454573 2402743 16819201