224016738 has 48 divisors (see below), whose sum is σ = 498143520. Its totient is φ = 67101760.

The previous prime is 224016733. The next prime is 224016761. The reversal of 224016738 is 837610422.

224016738 is digitally balanced in base 2 and base 3, because in such bases 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 (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224016699 and 224016708.

It is not an unprimeable number, because it can be changed into a prime (224016733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62881 + ... + 66347.

It is an arithmetic number, because the mean of its divisors is an integer number (10377990).

Almost surely, 2^224016738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224016738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249071760).

224016738 is an abundant number, since it is smaller than the sum of its proper divisors (274126782).

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

224016738 is a wasteful number, since it uses less digits than its factorization.

224016738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 224016738 is about 14967.1887139837. The cubic root of 224016738 is about 607.3329209109.

The spelling of 224016738 in words is "two hundred twenty-four million, sixteen thousand, seven hundred thirty-eight".