2225231320 has 128 divisors (see below), whose sum is σ = 5740943040. Its totient is φ = 768983040.

The previous prime is 2225231297. The next prime is 2225231431. The reversal of 2225231320 is 231325222.

It is a junction number, because it is equal to n+sod(n) for n = 2225231291 and 2225231300.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1864644 + ... + 1865836.

Almost surely, 2^2225231320 is an apocalyptic number.

2225231320 is a gapful number since it is divisible by the number (20) 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 2225231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870471520).

2225231320 is an abundant number, since it is smaller than the sum of its proper divisors (3515711720).

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

2225231320 is a wasteful number, since it uses less digits than its factorization.

2225231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

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

The square root of 2225231320 is about 47172.3575836527. The cubic root of 2225231320 is about 1305.5446257067.

Adding to 2225231320 its reverse (231325222), we get a palindrome (2456556542).

The spelling of 2225231320 in words is "two billion, two hundred twenty-five million, two hundred thirty-one thousand, three hundred twenty".