223838208 has 256 divisors, whose sum is σ = 754963200. Its totient is φ = 64880640.

The previous prime is 223838203. The next prime is 223838273. The reversal of 223838208 is 802838322.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223838203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9732085 + ... + 9732107.

It is an arithmetic number, because the mean of its divisors is an integer number (2949075).

Almost surely, 2^223838208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377481600).

223838208 is an abundant number, since it is smaller than the sum of its proper divisors (531124992).

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

223838208 is an equidigital number, since it uses as much as digits as its factorization.

223838208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 223838208 is about 14961.2234793816. The cubic root of 223838208 is about 607.1715401681.

The spelling of 223838208 in words is "two hundred twenty-three million, eight hundred thirty-eight thousand, two hundred eight".