20032200 has 144 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 5155200.

The previous prime is 20032193. The next prime is 20032237. The reversal of 20032200 is 223002.

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

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 35 ways as a sum of consecutive naturals, for example, 55621 + ... + 55979.

It is an arithmetic number, because the mean of its divisors is an integer number (483600).

Almost surely, 2^20032200 is an apocalyptic number.

20032200 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 20032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

20032200 is an abundant number, since it is smaller than the sum of its proper divisors (49606200).

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

20032200 is a wasteful number, since it uses less digits than its factorization.

20032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20032200 is about 4475.7345765807. The cubic root of 20032200 is about 271.5873572965.

Adding to 20032200 its reverse (223002), we get a palindrome (20255202).

It can be divided in two parts, 200 and 32200, that added together give a square (32400 = 180²).

The spelling of 20032200 in words is "twenty million, thirty-two thousand, two hundred".