2233114400 has 72 divisors (see below), whose sum is σ = 5947213104. Its totient is φ = 812038400.

The previous prime is 2233114393. The next prime is 2233114427. The reversal of 2233114400 is 44113322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

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 11 ways as a sum of consecutive naturals, for example, 118082 + ... + 135681.

It is an arithmetic number, because the mean of its divisors is an integer number (82600182).

Almost surely, 2^2233114400 is an apocalyptic number.

2233114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2233114400 is an abundant number, since it is smaller than the sum of its proper divisors (3714098704).

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

2233114400 is a wasteful number, since it uses less digits than its factorization.

2233114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253794 (or 253781 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2233114400 is about 47255.8398507528. The cubic root of 2233114400 is about 1307.0844781249.

Adding to 2233114400 its reverse (44113322), we get a palindrome (2277227722).

The spelling of 2233114400 in words is "two billion, two hundred thirty-three million, one hundred fourteen thousand, four hundred".