224989128 has 192 divisors, whose sum is σ = 783095040. Its totient is φ = 56719872.

The previous prime is 224989123. The next prime is 224989129. The reversal of 224989128 is 821989422.

It is a happy number.

224989128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224989123) 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, 149950 + ... + 151442.

It is an arithmetic number, because the mean of its divisors is an integer number (4078620).

Almost surely, 2^224989128 is an apocalyptic number.

224989128 is a gapful number since it is divisible by the number (28) 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 224989128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391547520).

224989128 is an abundant number, since it is smaller than the sum of its proper divisors (558105912).

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

224989128 is a wasteful number, since it uses less digits than its factorization.

224989128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1541 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 224989128 is about 14999.6375956221. The cubic root of 224989128 is about 608.2104029995.

It can be divided in two parts, 22498 and 9128, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 224989128 in words is "two hundred twenty-four million, nine hundred eighty-nine thousand, one hundred twenty-eight".