1140224200 has 96 divisors (see below), whose sum is σ = 2836872000. Its totient is φ = 424915200.

The previous prime is 1140224179. The next prime is 1140224201. The reversal of 1140224200 is 24220411.

It is a super-2 number, since 2×1140224200² = 2600222452531280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1140224201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229341 + ... + 234259.

It is an arithmetic number, because the mean of its divisors is an integer number (29550750).

Almost surely, 2^1140224200 is an apocalyptic number.

1140224200 is a gapful number since it is divisible by the number (10) 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 1140224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418436000).

1140224200 is an abundant number, since it is smaller than the sum of its proper divisors (1696647800).

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

1140224200 is a wasteful number, since it uses less digits than its factorization.

1140224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1140224200 is about 33767.2059845051. The cubic root of 1140224200 is about 1044.7124045464.

Adding to 1140224200 its reverse (24220411), we get a palindrome (1164444611).

The spelling of 1140224200 in words is "one billion, one hundred forty million, two hundred twenty-four thousand, two hundred".