224231616 has 168 divisors, whose sum is σ = 773460480. Its totient is φ = 60673536.

The previous prime is 224231593. The next prime is 224231617. The reversal of 224231616 is 616132422.

224231616 is a `hidden beast` number, since 2 + 2 + 42 + 3 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×224231616² = 100559635227942912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224231616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224231617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75145 + ... + 78071.

Almost surely, 2^224231616 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 224231616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386730240).

224231616 is an abundant number, since it is smaller than the sum of its proper divisors (549228864).

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

224231616 is a wasteful number, since it uses less digits than its factorization.

224231616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2958 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 224231616 is about 14974.3652953973. The cubic root of 224231616 is about 607.5270444700.

The spelling of 224231616 in words is "two hundred twenty-four million, two hundred thirty-one thousand, six hundred sixteen".