224009100 has 324 divisors, whose sum is σ = 851580912. Its totient is φ = 48211200.

The previous prime is 224009057. The next prime is 224009129. The reversal of 224009100 is 1900422.

224009100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6054282 + ... + 6054318.

Almost surely, 2^224009100 is an apocalyptic number.

224009100 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 224009100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425790456).

224009100 is an abundant number, since it is smaller than the sum of its proper divisors (627571812).

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

224009100 is a wasteful number, since it uses less digits than its factorization.

224009100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 224009100 is about 14966.9335536709. The cubic root of 224009100 is about 607.3260183589.

Adding to 224009100 its reverse (1900422), we get a palindrome (225909522).

The spelling of 224009100 in words is "two hundred twenty-four million, nine thousand, one hundred".