224795340 has 288 divisors, whose sum is σ = 870105600. Its totient is φ = 46569600.

The previous prime is 224795281. The next prime is 224795359. The reversal of 224795340 is 43597422.

224795340 is a `hidden beast` number, since 224 + 7 + 95 + 340 = 666.

224795340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 224795295 and 224795304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678975 + ... + 679305.

It is an arithmetic number, because the mean of its divisors is an integer number (3021200).

Almost surely, 2^224795340 is an apocalyptic number.

224795340 is a gapful number since it is divisible by the number (20) 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 224795340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435052800).

224795340 is an abundant number, since it is smaller than the sum of its proper divisors (645310260).

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

224795340 is a wasteful number, since it uses less digits than its factorization.

224795340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 224795340 is about 14993.1764479713. The cubic root of 224795340 is about 608.0357312507.

The spelling of 224795340 in words is "two hundred twenty-four million, seven hundred ninety-five thousand, three hundred forty".