223908768 has 288 divisors, whose sum is σ = 742996800. Its totient is φ = 63479808.

The previous prime is 223908767. The next prime is 223908779. The reversal of 223908768 is 867809322.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (223908767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2697655 + ... + 2697737.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^223908768 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 223908768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400).

223908768 is an abundant number, since it is smaller than the sum of its proper divisors (519088032).

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

223908768 is a wasteful number, since it uses less digits than its factorization.

223908768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 223908768 is about 14963.5813894936. The cubic root of 223908768 is about 607.2353325584.

It can be divided in two parts, 223908 and 768, that added together give a square (224676 = 474²).

The spelling of 223908768 in words is "two hundred twenty-three million, nine hundred eight thousand, seven hundred sixty-eight".