2238184000 has 112 divisors (see below), whose sum is σ = 5969514096. Its totient is φ = 826368000.

The previous prime is 2238183979. The next prime is 2238184019. The reversal of 2238184000 is 4818322.

It can be written as a sum of positive squares in 8 ways, for example, as 1134881344 + 1103302656 = 33688^2 + 33216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2238184000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93240 + ... + 114760.

It is an arithmetic number, because the mean of its divisors is an integer number (53299233).

Almost surely, 2^2238184000 is an apocalyptic number.

2238184000 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 2238184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984757048).

2238184000 is an abundant number, since it is smaller than the sum of its proper divisors (3731330096).

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

2238184000 is a wasteful number, since it uses less digits than its factorization.

2238184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21561 (or 21541 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2238184000 is about 47309.4493732489. The cubic root of 2238184000 is about 1308.0728417882.

The spelling of 2238184000 in words is "two billion, two hundred thirty-eight million, one hundred eighty-four thousand".