20322900 has 180 divisors, whose sum is σ = 71314012. Its totient is φ = 4976640.

The previous prime is 20322833. The next prime is 20322919. The reversal of 20322900 is 922302.

It can be written as a sum of positive squares in 6 ways, for example, as 4210704 + 16112196 = 2052^2 + 4014^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 105204 + ... + 105396.

Almost surely, 2^20322900 is an apocalyptic number.

20322900 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 20322900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35657006).

20322900 is an abundant number, since it is smaller than the sum of its proper divisors (50991112).

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

20322900 is a wasteful number, since it uses less digits than its factorization.

20322900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20322900 is about 4508.0927230925. The cubic root of 20322900 is about 272.8947789166.

The spelling of 20322900 in words is "twenty million, three hundred twenty-two thousand, nine hundred".