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16422100 = 2252971693
BaseRepresentation
bin111110101001…
…010011010100
31010220022212221
4332221103110
513201001400
61343552124
7256404562
oct76512324
933808787
1016422100
1192a7192
1255bb644
13352ca26
142276a32
151695c1a
hexfa94d4

16422100 has 36 divisors (see below), whose sum is σ = 36024604. Its totient is φ = 6497280.

The previous prime is 16422097. The next prime is 16422113. The reversal of 16422100 is 122461.

It can be written as a sum of positive squares in 6 ways, for example, as 835396 + 15586704 = 914^2 + 3948^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8854 + ... + 10546.

Almost surely, 216422100 is an apocalyptic number.

16422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012302).

16422100 is an abundant number, since it is smaller than the sum of its proper divisors (19602504).

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

16422100 is a wasteful number, since it uses less digits than its factorization.

16422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 16422100 is about 4052.4190306532. The cubic root of 16422100 is about 254.1808908400.

Adding to 16422100 its reverse (122461), we get a palindrome (16544561).

The spelling of 16422100 in words is "sixteen million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1693 1940 2425 3386 4850 6772 8465 9700 16930 33860 42325 84650 164221 169300 328442 656884 821105 1642210 3284420 4105525 8211050 16422100