223038816 has 288 divisors, whose sum is σ = 795803904. Its totient is φ = 53222400.

The previous prime is 223038791. The next prime is 223038817. The reversal of 223038816 is 618830322.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223038817) 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 47 ways as a sum of consecutive naturals, for example, 1056951 + ... + 1057161.

It is an arithmetic number, because the mean of its divisors is an integer number (2763208).

Almost surely, 2^223038816 is an apocalyptic number.

223038816 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 223038816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397901952).

223038816 is an abundant number, since it is smaller than the sum of its proper divisors (572765088).

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

223038816 is a wasteful number, since it uses less digits than its factorization.

223038816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 223038816 is about 14934.4841223258. The cubic root of 223038816 is about 606.4478820363.

The spelling of 223038816 in words is "two hundred twenty-three million, thirty-eight thousand, eight hundred sixteen".