224216928 has 72 divisors (see below), whose sum is σ = 686675808. Its totient is φ = 68988672.

The previous prime is 224216879. The next prime is 224216957. The reversal of 224216928 is 829612422.

224216928 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 224216892 and 224216901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26200 + ... + 33687.

It is an arithmetic number, because the mean of its divisors is an integer number (9537164).

Almost surely, 2^224216928 is an apocalyptic number.

It is an amenable number.

224216928 is an abundant number, since it is smaller than the sum of its proper divisors (462458880).

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

224216928 is a wasteful number, since it uses less digits than its factorization.

224216928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59916 (or 59905 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 224216928 is about 14973.8748492166. The cubic root of 224216928 is about 607.5137790910.

The spelling of 224216928 in words is "two hundred twenty-four million, two hundred sixteen thousand, nine hundred twenty-eight".