223513224 has 96 divisors (see below), whose sum is σ = 630594720. Its totient is φ = 65472000.

The previous prime is 223513223. The next prime is 223513253. The reversal of 223513224 is 422315322.

It is a super-2 number, since 2×223513224² = 99916322605748352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 223513194 and 223513203.

It is not an unprimeable number, because it can be changed into a prime (223513223) 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, 253264 + ... + 254144.

It is an arithmetic number, because the mean of its divisors is an integer number (6568695).

Almost surely, 2^223513224 is an apocalyptic number.

223513224 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 223513224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315297360).

223513224 is an abundant number, since it is smaller than the sum of its proper divisors (407081496).

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

223513224 is a wasteful number, since it uses less digits than its factorization.

223513224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 928 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 223513224 is about 14950.3586579052. The cubic root of 223513224 is about 606.8775531115.

Adding to 223513224 its reverse (422315322), we get a palindrome (645828546).

The spelling of 223513224 in words is "two hundred twenty-three million, five hundred thirteen thousand, two hundred twenty-four".