224984340 has 72 divisors (see below), whose sum is σ = 779950080. Its totient is φ = 51424704.

The previous prime is 224984317. The next prime is 224984351. The reversal of 224984340 is 43489422.

224984340 is a `hidden beast` number, since 224 + 98 + 4 + 340 = 666.

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 = 224984295 and 224984304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88020 + ... + 90539.

It is an arithmetic number, because the mean of its divisors is an integer number (10832640).

Almost surely, 2^224984340 is an apocalyptic number.

224984340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224984340 is an abundant number, since it is smaller than the sum of its proper divisors (554965740).

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

224984340 is a wasteful number, since it uses less digits than its factorization.

224984340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178581 (or 178576 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 224984340 is about 14999.4779909169. The cubic root of 224984340 is about 608.2060885213.

The spelling of 224984340 in words is "two hundred twenty-four million, nine hundred eighty-four thousand, three hundred forty".