1000023200 has 144 divisors (see below), whose sum is σ = 2803883040. Its totient is φ = 344448000.

The previous prime is 1000023197. The next prime is 1000023229. The reversal of 1000023200 is 23200001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164210 + ... + 170190.

It is an arithmetic number, because the mean of its divisors is an integer number (19471410).

Almost surely, 2^1000023200 is an apocalyptic number.

1000023200 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 1000023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401941520).

1000023200 is an abundant number, since it is smaller than the sum of its proper divisors (1803859840).

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

1000023200 is a wasteful number, since it uses less digits than its factorization.

1000023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6031 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1000023200 is about 31623.1434237648. The cubic root of 1000023200 is about 1000.0077332735.

Adding to 1000023200 its reverse (23200001), we get a palindrome (1023223201).

The spelling of 1000023200 in words is "one billion, twenty-three thousand, two hundred".