223513824 has 96 divisors (see below), whose sum is σ = 626040576. Its totient is φ = 69580800.

The previous prime is 223513819. The next prime is 223513859. The reversal of 223513824 is 428315322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 223513791 and 223513800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245979 + ... + 246885.

It is an arithmetic number, because the mean of its divisors is an integer number (6521256).

Almost surely, 2^223513824 is an apocalyptic number.

223513824 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 223513824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313020288).

223513824 is an abundant number, since it is smaller than the sum of its proper divisors (402526752).

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

223513824 is a wasteful number, since it uses less digits than its factorization.

223513824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1080 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 223513824 is about 14950.3787242999. The cubic root of 223513824 is about 606.8780961461.

The spelling of 223513824 in words is "two hundred twenty-three million, five hundred thirteen thousand, eight hundred twenty-four".