2231553200 has 60 divisors (see below), whose sum is σ = 5378524800. Its totient is φ = 889754880.

The previous prime is 2231553199. The next prime is 2231553209. The reversal of 2231553200 is 23551322.

It is a super-3 number, since 3×2231553200³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231553209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 118001 + ... + 135599.

It is an arithmetic number, because the mean of its divisors is an integer number (89642080).

Almost surely, 2^2231553200 is an apocalyptic number.

2231553200 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 2231553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689262400).

2231553200 is an abundant number, since it is smaller than the sum of its proper divisors (3146971600).

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

2231553200 is a wasteful number, since it uses less digits than its factorization.

2231553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934 (or 17923 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2231553200 is about 47239.3183693414. The cubic root of 2231553200 is about 1306.7798070619.

The spelling of 2231553200 in words is "two billion, two hundred thirty-one million, five hundred fifty-three thousand, two hundred".