2234415200 has 288 divisors, whose sum is σ = 6144919200. Its totient is φ = 789626880.

The previous prime is 2234415193. The next prime is 2234415259. The reversal of 2234415200 is 25144322.

It is a happy number.

It is a super-2 number, since 2×2234415200² = 9985222571982080000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 16309532 + ... + 16309668.

It is an arithmetic number, because the mean of its divisors is an integer number (21336525).

Almost surely, 2^2234415200 is an apocalyptic number.

2234415200 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 2234415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072459600).

2234415200 is an abundant number, since it is smaller than the sum of its proper divisors (3910504000).

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

2234415200 is a wasteful number, since it uses less digits than its factorization.

2234415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2234415200 is about 47269.6012253118. The cubic root of 2234415200 is about 1307.3382232174.

Adding to 2234415200 its reverse (25144322), we get a palindrome (2259559522).

The spelling of 2234415200 in words is "two billion, two hundred thirty-four million, four hundred fifteen thousand, two hundred".