224678268 has 72 divisors (see below), whose sum is σ = 611811200. Its totient is φ = 69291936.

The previous prime is 224678227. The next prime is 224678281. The reversal of 224678268 is 862876422.

224678268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224678268² = 100960648222959648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25593 + ... + 33231.

Almost surely, 2^224678268 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 224678268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305905600).

224678268 is an abundant number, since it is smaller than the sum of its proper divisors (387132932).

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

224678268 is a wasteful number, since it uses less digits than its factorization.

224678268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7706 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 224678268 is about 14989.2717634981. The cubic root of 224678268 is about 607.9301591926.

The spelling of 224678268 in words is "two hundred twenty-four million, six hundred seventy-eight thousand, two hundred sixty-eight".