224245980 has 432 divisors, whose sum is σ = 898672320. Its totient is φ = 44126208.

The previous prime is 224245979. The next prime is 224245991. The reversal of 224245980 is 89542422.

224245980 is a `hidden beast` number, since 22 + 42 + 4 + 598 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7732606 + ... + 7732634.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 2^224245980 is an apocalyptic number.

224245980 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 224245980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449336160).

224245980 is an abundant number, since it is smaller than the sum of its proper divisors (674426340).

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

224245980 is a wasteful number, since it uses less digits than its factorization.

224245980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 224245980 is about 14974.8449073772. The cubic root of 224245980 is about 607.5400166700.

The spelling of 224245980 in words is "two hundred twenty-four million, two hundred forty-five thousand, nine hundred eighty".