223241616 has 160 divisors (see below), whose sum is σ = 697733120. Its totient is φ = 67931136.

The previous prime is 223241593. The next prime is 223241617. The reversal of 223241616 is 616142322.

223241616 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 41 + 616 = 666.

It is a super-3 number, since 3×223241616³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 223241616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223241617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713076 + ... + 713388.

It is an arithmetic number, because the mean of its divisors is an integer number (4360832).

Almost surely, 2^223241616 is an apocalyptic number.

223241616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223241616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348866560).

223241616 is an abundant number, since it is smaller than the sum of its proper divisors (474491504).

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

223241616 is a wasteful number, since it uses less digits than its factorization.

223241616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 458 counting only the distinct ones).

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

The square root of 223241616 is about 14941.2722349872. The cubic root of 223241616 is about 606.6316323742.

Adding to 223241616 its reverse (616142322), we get a palindrome (839383938).

The spelling of 223241616 in words is "two hundred twenty-three million, two hundred forty-one thousand, six hundred sixteen".