224428384 has 72 divisors (see below), whose sum is σ = 468024480. Its totient is φ = 105878016.

The previous prime is 224428307. The next prime is 224428397. The reversal of 224428384 is 483824422.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2058922 + ... + 2059030.

It is an arithmetic number, because the mean of its divisors is an integer number (6500340).

Almost surely, 2^224428384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224428384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234012240).

224428384 is an abundant number, since it is smaller than the sum of its proper divisors (243596096).

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

224428384 is a wasteful number, since it uses less digits than its factorization.

224428384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 195 counting only the distinct ones).

The product of its digits is 98304, while the sum is 37.

The square root of 224428384 is about 14980.9340162755. The cubic root of 224428384 is about 607.7046984717.

It can be divided in two parts, 2244 and 28384, that added together give a triangular number (30628 = T₂₄₇).

The spelling of 224428384 in words is "two hundred twenty-four million, four hundred twenty-eight thousand, three hundred eighty-four".