224649216 has 168 divisors, whose sum is σ = 710497944. Its totient is φ = 67829760.

The previous prime is 224649197. The next prime is 224649221. The reversal of 224649216 is 612946422.

224649216 is a `hidden beast` number, since 2 + 2 + 4 + 649 + 2 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 810870 + ... + 811146.

Almost surely, 2^224649216 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 224649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355248972).

224649216 is an abundant number, since it is smaller than the sum of its proper divisors (485848728).

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

224649216 is a wasteful number, since it uses less digits than its factorization.

224649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 224649216 is about 14988.3026390582. The cubic root of 224649216 is about 607.9039552812.

The spelling of 224649216 in words is "two hundred twenty-four million, six hundred forty-nine thousand, two hundred sixteen".