224228736 has 160 divisors (see below), whose sum is σ = 677575800. Its totient is φ = 73903104.

The previous prime is 224228731. The next prime is 224228737. The reversal of 224228736 is 637822422.

It is a happy number.

224228736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224228736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224228731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2519380 + ... + 2519468.

Almost surely, 2^224228736 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 224228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338787900).

224228736 is an abundant number, since it is smaller than the sum of its proper divisors (453347064).

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

224228736 is an frugal number, since it uses more digits than its factorization.

224228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 224228736 is about 14974.2691307456. The cubic root of 224228736 is about 607.5244434609.

The spelling of 224228736 in words is "two hundred twenty-four million, two hundred twenty-eight thousand, seven hundred thirty-six".