2233220400 has 180 divisors, whose sum is σ = 8017507680. Its totient is φ = 574963200.

The previous prime is 2233220357. The next prime is 2233220411. The reversal of 2233220400 is 40223322.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 93705 + ... + 115095.

Almost surely, 2^2233220400 is an apocalyptic number.

2233220400 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 2233220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008753840).

2233220400 is an abundant number, since it is smaller than the sum of its proper divisors (5784287280).

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

2233220400 is a wasteful number, since it uses less digits than its factorization.

2233220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21444 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2233220400 is about 47256.9613919473. The cubic root of 2233220400 is about 1307.1051590720.

Adding to 2233220400 its reverse (40223322), we get a palindrome (2273443722).

The spelling of 2233220400 in words is "two billion, two hundred thirty-three million, two hundred twenty thousand, four hundred".