1003222800 has 240 divisors, whose sum is σ = 3759432000. Its totient is φ = 253393920.

The previous prime is 1003222793. The next prime is 1003222807. The reversal of 1003222800 is 82223001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1003222793) and next prime (1003222807).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1003222807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202756 + ... + 207644.

It is an arithmetic number, because the mean of its divisors is an integer number (15664300).

Almost surely, 2^1003222800 is an apocalyptic number.

1003222800 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 1003222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879716000).

1003222800 is an abundant number, since it is smaller than the sum of its proper divisors (2756209200).

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

1003222800 is a wasteful number, since it uses less digits than its factorization.

1003222800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1003222800 is about 31673.6925539161. The cubic root of 1003222800 is about 1001.0731146796.

Adding to 1003222800 its reverse (82223001), we get a palindrome (1085445801).

The spelling of 1003222800 in words is "one billion, three million, two hundred twenty-two thousand, eight hundred".