2223220400 has 120 divisors (see below), whose sum is σ = 5754006720. Its totient is φ = 822769920.

The previous prime is 2223220393. The next prime is 2223220423. The reversal of 2223220400 is 40223222.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323399 + ... + 330201.

It is an arithmetic number, because the mean of its divisors is an integer number (47950056).

Almost surely, 2^2223220400 is an apocalyptic number.

2223220400 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 2223220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877003360).

2223220400 is an abundant number, since it is smaller than the sum of its proper divisors (3530786320).

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

2223220400 is a wasteful number, since it uses less digits than its factorization.

2223220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6872 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2223220400 is about 47151.0381646046. The cubic root of 2223220400 is about 1305.1512378364.

Adding to 2223220400 its reverse (40223222), we get a palindrome (2263443622).

The spelling of 2223220400 in words is "two billion, two hundred twenty-three million, two hundred twenty thousand, four hundred".