2022103200 has 144 divisors (see below), whose sum is σ = 7088358816. Its totient is φ = 497740800.

The previous prime is 2022103141. The next prime is 2022103219. The reversal of 2022103200 is 23012202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206 + ... + 63605.

It is an arithmetic number, because the mean of its divisors is an integer number (49224714).

Almost surely, 2^2022103200 is an apocalyptic number.

2022103200 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 2022103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544179408).

2022103200 is an abundant number, since it is smaller than the sum of its proper divisors (5066255616).

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

2022103200 is a wasteful number, since it uses less digits than its factorization.

2022103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64847 (or 64834 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2022103200 is about 44967.8018141870. The cubic root of 2022103200 is about 1264.5454370360.

Adding to 2022103200 its reverse (23012202), we get a palindrome (2045115402).

The spelling of 2022103200 in words is "two billion, twenty-two million, one hundred three thousand, two hundred".