224806968 has 128 divisors (see below), whose sum is σ = 669772800. Its totient is φ = 69683328.

The previous prime is 224806957. The next prime is 224807003. The reversal of 224806968 is 869608422.

It is a super-2 number, since 2×224806968² = 101076345722706048, 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 31 ways as a sum of consecutive naturals, for example, 183205 + ... + 184427.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2^224806968 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 224806968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

224806968 is an abundant number, since it is smaller than the sum of its proper divisors (444965832).

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

224806968 is a wasteful number, since it uses less digits than its factorization.

224806968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 224806968 is about 14993.5642193576. The cubic root of 224806968 is about 608.0462150350.

The spelling of 224806968 in words is "two hundred twenty-four million, eight hundred six thousand, nine hundred sixty-eight".