2206234400 has 144 divisors (see below), whose sum is σ = 5709009600. Its totient is φ = 830223360.

The previous prime is 2206234399. The next prime is 2206234427. The reversal of 2206234400 is 44326022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2629181 + ... + 2630019.

It is an arithmetic number, because the mean of its divisors is an integer number (39645900).

Almost surely, 2^2206234400 is an apocalyptic number.

2206234400 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 2206234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854504800).

2206234400 is an abundant number, since it is smaller than the sum of its proper divisors (3502775200).

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

2206234400 is a wasteful number, since it uses less digits than its factorization.

2206234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2206234400 is about 46970.5695090021. The cubic root of 2206234400 is about 1301.8188347455.

The spelling of 2206234400 in words is "two billion, two hundred six million, two hundred thirty-four thousand, four hundred".