10223002000 has 80 divisors (see below), whose sum is σ = 24883657344. Its totient is φ = 4062000000.

The previous prime is 10223001991. The next prime is 10223002021. The reversal of 10223002000 is 20032201.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285075 + ... + 318925.

Almost surely, 2^10223002000 is an apocalyptic number.

10223002000 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 10223002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441828672).

10223002000 is an abundant number, since it is smaller than the sum of its proper divisors (14660655344).

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

10223002000 is a wasteful number, since it uses less digits than its factorization.

10223002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34025 (or 34009 counting only the distinct ones).

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

Adding to 10223002000 its reverse (20032201), we get a palindrome (10243034201).

The spelling of 10223002000 in words is "ten billion, two hundred twenty-three million, two thousand".