20205000 has 120 divisors (see below), whose sum is σ = 68532750. Its totient is φ = 5376000.

The previous prime is 20204981. The next prime is 20205001. The reversal of 20205000 is 50202.

It can be written as a sum of positive squares in 5 ways, for example, as 544644 + 19660356 = 738^2 + 4434^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20205001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44776 + ... + 45224.

Almost surely, 2^20205000 is an apocalyptic number.

20205000 is a gapful number since it is divisible by the number (20) 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 20205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34266375).

20205000 is an abundant number, since it is smaller than the sum of its proper divisors (48327750).

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

20205000 is a wasteful number, since it uses less digits than its factorization.

20205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 20205000 is about 4494.9972191315. The cubic root of 20205000 is about 272.3660368946.

Adding to 20205000 its reverse (50202), we get a palindrome (20255202).

The spelling of 20205000 in words is "twenty million, two hundred five thousand".