7222309920 has 864 divisors, whose sum is σ = 31621943808. Its totient is φ = 1546739712.

The previous prime is 7222309889. The next prime is 7222309921. The reversal of 7222309920 is 299032227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7222309921) 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 143 ways as a sum of consecutive naturals, for example, 32386929 + ... + 32387151.

It is an arithmetic number, because the mean of its divisors is an integer number (36599472).

Almost surely, 2^7222309920 is an apocalyptic number.

7222309920 is a gapful number since it is divisible by the number (70) 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 7222309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810971904).

7222309920 is an abundant number, since it is smaller than the sum of its proper divisors (24399633888).

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

7222309920 is a wasteful number, since it uses less digits than its factorization.

7222309920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7222309920 is about 84984.1745267906. The cubic root of 7222309920 is about 1932.9711563606.

The spelling of 7222309920 in words is "seven billion, two hundred twenty-two million, three hundred nine thousand, nine hundred twenty".