224070336 has 252 divisors, whose sum is σ = 792757368. Its totient is φ = 60125184.

The previous prime is 224070331. The next prime is 224070359. The reversal of 224070336 is 633070422.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (224070331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479575 + ... + 480041.

Almost surely, 2^224070336 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 224070336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396378684).

224070336 is an abundant number, since it is smaller than the sum of its proper divisors (568687032).

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

224070336 is a wasteful number, since it uses less digits than its factorization.

224070336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 224070336 is about 14968.9791235074. The cubic root of 224070336 is about 607.3813536522.

The spelling of 224070336 in words is "two hundred twenty-four million, seventy thousand, three hundred thirty-six".