224046100 has 72 divisors (see below), whose sum is σ = 525764960. Its totient is φ = 82581120.

The previous prime is 224046089. The next prime is 224046103. The reversal of 224046100 is 1640422.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224046103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68707 + ... + 71893.

Almost surely, 2^224046100 is an apocalyptic number.

224046100 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 224046100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262882480).

224046100 is an abundant number, since it is smaller than the sum of its proper divisors (301718860).

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

224046100 is a wasteful number, since it uses less digits than its factorization.

224046100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 224046100 is about 14968.1695607713. The cubic root of 224046100 is about 607.3594542410.

Adding to 224046100 its reverse (1640422), we get a palindrome (225686522).

The spelling of 224046100 in words is "two hundred twenty-four million, forty-six thousand, one hundred".