224114740 has 48 divisors (see below), whose sum is σ = 507768912. Its totient is φ = 82774016.

The previous prime is 224114711. The next prime is 224114749. The reversal of 224114740 is 47411422.

It can be written as a sum of positive squares in 8 ways, for example, as 2521744 + 221592996 = 1588^2 + 14886^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224114749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11802 + ... + 24238.

It is an arithmetic number, because the mean of its divisors is an integer number (10578519).

Almost surely, 2^224114740 is an apocalyptic number.

224114740 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 224114740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253884456).

224114740 is an abundant number, since it is smaller than the sum of its proper divisors (283654172).

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

224114740 is a wasteful number, since it uses less digits than its factorization.

224114740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12516 (or 12514 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 224114740 is about 14970.4622507122. The cubic root of 224114740 is about 607.4214725731.

The spelling of 224114740 in words is "two hundred twenty-four million, one hundred fourteen thousand, seven hundred forty".