4100232224 has 144 divisors (see below), whose sum is σ = 9532839456. Its totient is φ = 1720396800.

The previous prime is 4100232209. The next prime is 4100232239. The reversal of 4100232224 is 4222320014.

It is an interprime number because it is at equal distance from previous prime (4100232209) and next prime (4100232239).

It is a junction number, because it is equal to n+sod(n) for n = 4100232196 and 4100232205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5209559 + ... + 5210345.

It is an arithmetic number, because the mean of its divisors is an integer number (66200274).

Almost surely, 2^4100232224 is an apocalyptic number.

4100232224 is a gapful number since it is divisible by the number (44) 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 4100232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766419728).

4100232224 is an abundant number, since it is smaller than the sum of its proper divisors (5432607232).

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

4100232224 is a wasteful number, since it uses less digits than its factorization.

4100232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4100232224 is about 64033.0557134360. The cubic root of 4100232224 is about 1600.5508811428.

Adding to 4100232224 its reverse (4222320014), we get a palindrome (8322552238).

The spelling of 4100232224 in words is "four billion, one hundred million, two hundred thirty-two thousand, two hundred twenty-four".