10222532320 has 384 divisors, whose sum is σ = 32859509760. Its totient is φ = 2901934080.

The previous prime is 10222532311. The next prime is 10222532329. The reversal of 10222532320 is 2323522201.

10222532320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10222532311) and next prime (10222532329).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10222532291 and 10222532300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222532329) 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 63 ways as a sum of consecutive naturals, for example, 13292896 + ... + 13293664.

It is an arithmetic number, because the mean of its divisors is an integer number (85571640).

Almost surely, 2^10222532320 is an apocalyptic number.

10222532320 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 10222532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429754880).

10222532320 is an abundant number, since it is smaller than the sum of its proper divisors (22636977440).

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

10222532320 is a wasteful number, since it uses less digits than its factorization.

10222532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 10222532320 in words is "ten billion, two hundred twenty-two million, five hundred thirty-two thousand, three hundred twenty".