2231845434 has 384 divisors, whose sum is σ = 6746112000. Its totient is φ = 544864320.

The previous prime is 2231845417. The next prime is 2231845489. The reversal of 2231845434 is 4345481322.

2231845434 is a `hidden beast` number, since 2 + 2 + 31 + 84 + 543 + 4 = 666.

It is a super-3 number, since 3×2231845434³ (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 191 ways as a sum of consecutive naturals, for example, 71994999 + ... + 71995029.

It is an arithmetic number, because the mean of its divisors is an integer number (17568000).

Almost surely, 2^2231845434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231845434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373056000).

2231845434 is an abundant number, since it is smaller than the sum of its proper divisors (4514266566).

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

2231845434 is a wasteful number, since it uses less digits than its factorization.

2231845434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2231845434 is about 47242.4113906138. The cubic root of 2231845434 is about 1306.8368478742.

The spelling of 2231845434 in words is "two billion, two hundred thirty-one million, eight hundred forty-five thousand, four hundred thirty-four".