224133431100 has 144 divisors (see below), whose sum is σ = 666689100000. Its totient is φ = 58095083520.

The previous prime is 224133431017. The next prime is 224133431107. The reversal of 224133431100 is 1134331422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224133431107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11634276 + ... + 11653524.

Almost surely, 2^224133431100 is an apocalyptic number.

224133431100 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 224133431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333344550000).

224133431100 is an abundant number, since it is smaller than the sum of its proper divisors (442555668900).

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

224133431100 is a wasteful number, since it uses less digits than its factorization.

224133431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20352 (or 20345 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 224133431100 its reverse (1134331422), we get a palindrome (225267762522).

The spelling of 224133431100 in words is "two hundred twenty-four billion, one hundred thirty-three million, four hundred thirty-one thousand, one hundred".