10223032320 has 144 divisors (see below), whose sum is σ = 35431512480. Its totient is φ = 2726117376.

The previous prime is 10223032319. The next prime is 10223032343. The reversal of 10223032320 is 2323032201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 10223032293 and 10223032302.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36697 + ... + 147623.

It is an arithmetic number, because the mean of its divisors is an integer number (246052170).

Almost surely, 2^10223032320 is an apocalyptic number.

10223032320 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 10223032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17715756240).

10223032320 is an abundant number, since it is smaller than the sum of its proper divisors (25208480160).

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

10223032320 is a wasteful number, since it uses less digits than its factorization.

10223032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110960 (or 110937 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10223032320 its reverse (2323032201), we get a palindrome (12546064521).

The spelling of 10223032320 in words is "ten billion, two hundred twenty-three million, thirty-two thousand, three hundred twenty".