1022003200 has 72 divisors (see below), whose sum is σ = 2534076090. Its totient is φ = 408780800.

The previous prime is 1022003197. The next prime is 1022003201. The reversal of 1022003200 is 23002201.

It can be written as a sum of positive squares in 3 ways, for example, as 945685504 + 76317696 = 30752^2 + 8736^2 .

It is a super-3 number, since 3×1022003200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1022003201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41220 + ... + 61180.

Almost surely, 2^1022003200 is an apocalyptic number.

1022003200 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 1022003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267038045).

1022003200 is an abundant number, since it is smaller than the sum of its proper divisors (1512072890).

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

1022003200 is an equidigital number, since it uses as much as digits as its factorization.

1022003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19993 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1022003200 is about 31968.7847751522. The cubic root of 1022003200 is about 1007.2812546547.

Adding to 1022003200 its reverse (23002201), we get a palindrome (1045005401).

Subtracting from 1022003200 its reverse (23002201), we obtain a palindrome (999000999).

The spelling of 1022003200 in words is "one billion, twenty-two million, three thousand, two hundred".