2202141200 has 120 divisors (see below), whose sum is σ = 6061034688. Its totient is φ = 753200640.

The previous prime is 2202141199. The next prime is 2202141209. The reversal of 2202141200 is 21412022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2202141209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1715759 + ... + 1717041.

Almost surely, 2^2202141200 is an apocalyptic number.

2202141200 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 2202141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030517344).

2202141200 is an abundant number, since it is smaller than the sum of its proper divisors (3858893488).

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

2202141200 is a wasteful number, since it uses less digits than its factorization.

2202141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2202141200 is about 46926.9773158255. The cubic root of 2202141200 is about 1301.0132534315.

Adding to 2202141200 its reverse (21412022), we get a palindrome (2223553222).

It can be divided in two parts, 2 and 202141200, that added together give a palindrome (202141202).

The spelling of 2202141200 in words is "two billion, two hundred two million, one hundred forty-one thousand, two hundred".