224658048 has 64 divisors (see below), whose sum is σ = 598536000. Its totient is φ = 74661888.

The previous prime is 224658029. The next prime is 224658079. The reversal of 224658048 is 840856422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 224657997 and 224658015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171765 + ... + 173067.

It is an arithmetic number, because the mean of its divisors is an integer number (9352125).

Almost surely, 2^224658048 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 224658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299268000).

224658048 is an abundant number, since it is smaller than the sum of its proper divisors (373877952).

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

224658048 is a wasteful number, since it uses less digits than its factorization.

224658048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 224658048 is about 14988.5972659219. The cubic root of 224658048 is about 607.9119216825.

The spelling of 224658048 in words is "two hundred twenty-four million, six hundred fifty-eight thousand, forty-eight".