233020224 has 168 divisors, whose sum is σ = 722147400. Its totient is φ = 71565312.

The previous prime is 233020223. The next prime is 233020289. The reversal of 233020224 is 422020332.

233020224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 15265²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 99201600 + 133818624 = 9960^2 + 11568^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233020197 and 233020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233020223) 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, 518752 + ... + 519200.

Almost surely, 2^233020224 is an apocalyptic number.

233020224 is a gapful number since it is divisible by the number (24) 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 233020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361073700).

233020224 is an abundant number, since it is smaller than the sum of its proper divisors (489127176).

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

233020224 is a wasteful number, since it uses less digits than its factorization.

233020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233020224 is about 15264.9999672453. Note that the first 4 decimals coincide. The cubic root of 233020224 is about 615.3627524797.

Adding to 233020224 its reverse (422020332), we get a palindrome (655040556).

The spelling of 233020224 in words is "two hundred thirty-three million, twenty thousand, two hundred twenty-four".