224352128 has 256 divisors, whose sum is σ = 641571840. Its totient is φ = 75202560.

The previous prime is 224352101. The next prime is 224352137. The reversal of 224352128 is 821253422.

224352128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 224352128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2178125 + ... + 2178227.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^224352128 is an apocalyptic number.

224352128 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 224352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

224352128 is an abundant number, since it is smaller than the sum of its proper divisors (417219712).

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

224352128 is a wasteful number, since it uses less digits than its factorization.

224352128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 224352128 is about 14978.3886983881. The cubic root of 224352128 is about 607.6358622900.

The spelling of 224352128 in words is "two hundred twenty-four million, three hundred fifty-two thousand, one hundred twenty-eight".