224628096 has 256 divisors, whose sum is σ = 761425920. Its totient is φ = 56985600.

The previous prime is 224628091. The next prime is 224628101. The reversal of 224628096 is 690826422.

224628096 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 (224628091) and next prime (224628101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224628091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2099275 + ... + 2099381.

It is an arithmetic number, because the mean of its divisors is an integer number (2974320).

Almost surely, 2^224628096 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 224628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380712960).

224628096 is an abundant number, since it is smaller than the sum of its proper divisors (536797824).

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

224628096 is a wasteful number, since it uses less digits than its factorization.

224628096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 224628096 is about 14987.5980730736. The cubic root of 224628096 is about 607.8849043446.

The spelling of 224628096 in words is "two hundred twenty-four million, six hundred twenty-eight thousand, ninety-six".