16822900 has 36 divisors (see below), whose sum is σ = 37771020. Its totient is φ = 6496000.

The previous prime is 16822849. The next prime is 16822909. The reversal of 16822900 is 922861.

It is a happy number.

16822900 is a nontrivial binomial coefficient, being equal to C(5801, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 646416 + 16176484 = 804^2 + 4022^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16822909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 5800.

It is an arithmetic number, because the mean of its divisors is an integer number (1049195).

Almost surely, 2^16822900 is an apocalyptic number.

16822900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16822900 is the 5800-th triangular number.

16822900 is the 1934-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16822900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18885510).

16822900 is an abundant number, since it is smaller than the sum of its proper divisors (20948120).

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

16822900 is a wasteful number, since it uses less digits than its factorization.

16822900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 16822900 is about 4101.5728690345. The cubic root of 16822900 is about 256.2321502538.

The spelling of 16822900 in words is "sixteen million, eight hundred twenty-two thousand, nine hundred".