2231815168 has 88 divisors (see below), whose sum is σ = 4889611584. Its totient is φ = 1009766400.

The previous prime is 2231815141. The next prime is 2231815181. The reversal of 2231815168 is 8615181322.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-3 number, since 3×2231815168³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3908323 + ... + 3908893.

It is an arithmetic number, because the mean of its divisors is an integer number (55563768).

Almost surely, 2^2231815168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231815168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444805792).

2231815168 is an abundant number, since it is smaller than the sum of its proper divisors (2657796416).

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

2231815168 is a wasteful number, since it uses less digits than its factorization.

2231815168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 931 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 2231815168 is about 47242.0910629494. The cubic root of 2231815168 is about 1306.8309405202.

The spelling of 2231815168 in words is "two billion, two hundred thirty-one million, eight hundred fifteen thousand, one hundred sixty-eight".