4224100 has 36 divisors (see below), whose sum is σ = 9350964. Its totient is φ = 1655680.

The previous prime is 4224097. The next prime is 4224127. The reversal of 4224100 is 14224.

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 4218916 = 72^2 + 2054^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4902 + ... + 5698.

It is an arithmetic number, because the mean of its divisors is an integer number (259749).

Almost surely, 2^4224100 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 4224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675482).

4224100 is an abundant number, since it is smaller than the sum of its proper divisors (5126864).

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

4224100 is a wasteful number, since it uses less digits than its factorization.

4224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4224100 is about 2055.2615405344. The cubic root of 4224100 is about 161.6508764588.

Adding to 4224100 its reverse (14224), we get a palindrome (4238324).

It can be divided in two parts, 42 and 24100, that added together give a palindrome (24142).

The spelling of 4224100 in words is "four million, two hundred twenty-four thousand, one hundred".