224646240 has 384 divisors, whose sum is σ = 900910080. Its totient is φ = 45785088.

The previous prime is 224646239. The next prime is 224646241. The reversal of 224646240 is 42646422.

224646240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224646239) and next prime (224646241).

It is a super-2 number, since 2×224646240² = 100931866292275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224646198 and 224646207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224646241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616091 + ... + 1616229.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^224646240 is an apocalyptic number.

224646240 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 224646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450455040).

224646240 is an abundant number, since it is smaller than the sum of its proper divisors (676263840).

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

224646240 is a wasteful number, since it uses less digits than its factorization.

224646240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 224646240 is about 14988.2033613105. The cubic root of 224646240 is about 607.9012709033.

The spelling of 224646240 in words is "two hundred twenty-four million, six hundred forty-six thousand, two hundred forty".