223267968 has 256 divisors, whose sum is σ = 822528000. Its totient is φ = 57922560.

The previous prime is 223267963. The next prime is 223268029. The reversal of 223267968 is 869762322.

It is a super-3 number, since 3×223267968³ (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (223267963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265693 + ... + 266531.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2^223267968 is an apocalyptic number.

223267968 is a gapful number since it is divisible by the number (28) 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 223267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).

223267968 is an abundant number, since it is smaller than the sum of its proper divisors (599260032).

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

223267968 is a wasteful number, since it uses less digits than its factorization.

223267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 862 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 223267968 is about 14942.1540615803. The cubic root of 223267968 is about 606.6555008746.

The spelling of 223267968 in words is "two hundred twenty-three million, two hundred sixty-seven thousand, nine hundred sixty-eight".