224296128 has 210 divisors, whose sum is σ = 774312396. Its totient is φ = 64012032.

The previous prime is 224296091. The next prime is 224296133. The reversal of 224296128 is 821692422.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 224296092 and 224296101.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253575 + ... + 254457.

Almost surely, 2^224296128 is an apocalyptic number.

224296128 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 224296128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387156198).

224296128 is an abundant number, since it is smaller than the sum of its proper divisors (550016268).

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

224296128 is an equidigital number, since it uses as much as digits as its factorization.

224296128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 895 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 224296128 is about 14976.5192217685. The cubic root of 224296128 is about 607.5853012364.

The spelling of 224296128 in words is "two hundred twenty-four million, two hundred ninety-six thousand, one hundred twenty-eight".