224628930 has 96 divisors (see below), whose sum is σ = 611884800. Its totient is φ = 58639392.

The previous prime is 224628907. The next prime is 224628931. The reversal of 224628930 is 39826422.

224628930 is a `hidden beast` number, since 2 + 24 + 628 + 9 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224628931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 939751 + ... + 939989.

It is an arithmetic number, because the mean of its divisors is an integer number (6373800).

Almost surely, 2^224628930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224628930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305942400).

224628930 is an abundant number, since it is smaller than the sum of its proper divisors (387255870).

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

224628930 is a wasteful number, since it uses less digits than its factorization.

224628930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 224628930 is about 14987.6258960517. The cubic root of 224628930 is about 607.8856566628.

The spelling of 224628930 in words is "two hundred twenty-four million, six hundred twenty-eight thousand, nine hundred thirty".