224645130 has 128 divisors (see below), whose sum is σ = 623808000. Its totient is φ = 57480192.

The previous prime is 224645119. The next prime is 224645131. The reversal of 224645130 is 31546422.

224645130 is a `hidden beast` number, since 2 + 2 + 4 + 645 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224645094 and 224645103.

It is not an unprimeable number, because it can be changed into a prime (224645131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1128771 + ... + 1128969.

It is an arithmetic number, because the mean of its divisors is an integer number (4873500).

Almost surely, 2^224645130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224645130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311904000).

224645130 is an abundant number, since it is smaller than the sum of its proper divisors (399162870).

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

224645130 is a wasteful number, since it uses less digits than its factorization.

224645130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 224645130 is about 14988.1663321435. The cubic root of 224645130 is about 607.9002696676.

The spelling of 224645130 in words is "two hundred twenty-four million, six hundred forty-five thousand, one hundred thirty".