224414528 has 112 divisors (see below), whose sum is σ = 506943360. Its totient is φ = 97843200.

The previous prime is 224414521. The next prime is 224414543. The reversal of 224414528 is 825414422.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (20480) is a multiple of the sum of its prime factors (256).

It is a junction number, because it is equal to n+sod(n) for n = 224414494 and 224414503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224414521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713023 + ... + 1713153.

It is an arithmetic number, because the mean of its divisors is an integer number (4526280).

Almost surely, 2^224414528 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 224414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253471680).

224414528 is an abundant number, since it is smaller than the sum of its proper divisors (282528832).

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

224414528 is a wasteful number, since it uses less digits than its factorization.

224414528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its digits is 20480, while the sum is 32.

The square root of 224414528 is about 14980.4715546608. The cubic root of 224414528 is about 607.6921918397.

The spelling of 224414528 in words is "two hundred twenty-four million, four hundred fourteen thousand, five hundred twenty-eight".