223808832 has 252 divisors, whose sum is σ = 734886516. Its totient is φ = 67184640.

The previous prime is 223808789. The next prime is 223808861. The reversal of 223808832 is 238808322.

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 203233536 = 4536^2 + 14256^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5458732 + ... + 5458772.

Almost surely, 2^223808832 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 223808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367443258).

223808832 is an abundant number, since it is smaller than the sum of its proper divisors (511077684).

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

223808832 is an frugal number, since it uses more digits than its factorization.

223808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

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

The square root of 223808832 is about 14960.2417092773. The cubic root of 223808832 is about 607.1449777510.

The spelling of 223808832 in words is "two hundred twenty-three million, eight hundred eight thousand, eight hundred thirty-two".