223768008 has 224 divisors, whose sum is σ = 695279160. Its totient is φ = 67184640.

The previous prime is 223768003. The next prime is 223768009. The reversal of 223768008 is 800867322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 201696804 + 22071204 = 14202^2 + 4698^2 .

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 (223768003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3668298 + ... + 3668358.

Almost surely, 2^223768008 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 223768008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347639580).

223768008 is an abundant number, since it is smaller than the sum of its proper divisors (471511152).

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

223768008 is a wasteful number, since it uses less digits than its factorization.

223768008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 223768008 is about 14958.8772305945. The cubic root of 223768008 is about 607.1080599441.

The spelling of 223768008 in words is "two hundred twenty-three million, seven hundred sixty-eight thousand, eight".