20222233200 has 600 divisors, whose sum is σ = 80133423216. Its totient is φ = 4852224000.

The previous prime is 20222233177. The next prime is 20222233211. The reversal of 20222233200 is 233222202.

It is a tau number, because it is divible by the number of its divisors (600).

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17268615 + ... + 17269785.

Almost surely, 2^20222233200 is an apocalyptic number.

20222233200 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 20222233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40066711608).

20222233200 is an abundant number, since it is smaller than the sum of its proper divisors (59911190016).

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

20222233200 is a wasteful number, since it uses less digits than its factorization.

20222233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20222233200 its reverse (233222202), we get a palindrome (20455455402).

The spelling of 20222233200 in words is "twenty billion, two hundred twenty-two million, two hundred thirty-three thousand, two hundred".