1002223200 has 144 divisors (see below), whose sum is σ = 3558897216. Its totient is φ = 242956800.

The previous prime is 1002223199. The next prime is 1002223207. The reversal of 1002223200 is 23222001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002223207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7419 + ... + 45381.

It is an arithmetic number, because the mean of its divisors is an integer number (24714564).

Almost surely, 2^1002223200 is an apocalyptic number.

1002223200 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 1002223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779448608).

1002223200 is an abundant number, since it is smaller than the sum of its proper divisors (2556674016).

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

1002223200 is a wasteful number, since it uses less digits than its factorization.

1002223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37997 (or 37984 counting only the distinct ones).

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

The square root of 1002223200 is about 31657.9089644278. The cubic root of 1002223200 is about 1000.7405181642.

Adding to 1002223200 its reverse (23222001), we get a palindrome (1025445201).

The spelling of 1002223200 in words is "one billion, two million, two hundred twenty-three thousand, two hundred".