224538048 has 224 divisors, whose sum is σ = 794918400. Its totient is φ = 60715008.

The previous prime is 224538037. The next prime is 224538059. The reversal of 224538048 is 840835422.

224538048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224538037) and next prime (224538059).

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 229336 + ... + 230312.

Almost surely, 2^224538048 is an apocalyptic number.

224538048 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 224538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397459200).

224538048 is an abundant number, since it is smaller than the sum of its proper divisors (570380352).

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

224538048 is a wasteful number, since it uses less digits than its factorization.

224538048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 224538048 is about 14984.5936881852. The cubic root of 224538048 is about 607.8036646764.

The spelling of 224538048 in words is "two hundred twenty-four million, five hundred thirty-eight thousand, forty-eight".