2223314000 has 80 divisors (see below), whose sum is σ = 5561496720. Its totient is φ = 858636800.

The previous prime is 2223313957. The next prime is 2223314039. The reversal of 2223314000 is 4133222.

It can be written as a sum of positive squares in 8 ways, for example, as 513656896 + 1709657104 = 22664^2 + 41348^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2223314000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38834 + ... + 77166.

It is an arithmetic number, because the mean of its divisors is an integer number (69518709).

Almost surely, 2^2223314000 is an apocalyptic number.

2223314000 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 2223314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780748360).

2223314000 is an abundant number, since it is smaller than the sum of its proper divisors (3338182720).

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

2223314000 is a wasteful number, since it uses less digits than its factorization.

2223314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38385 (or 38369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2223314000 is about 47152.0307091858. The cubic root of 2223314000 is about 1305.1695536756.

Adding to 2223314000 its reverse (4133222), we get a palindrome (2227447222).

The spelling of 2223314000 in words is "two billion, two hundred twenty-three million, three hundred fourteen thousand".