224355340 has 96 divisors (see below), whose sum is σ = 542868480. Its totient is φ = 77088000.

The previous prime is 224355337. The next prime is 224355343. The reversal of 224355340 is 43553422.

224355340 is digitally balanced in base 2, 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 (224355337) and next prime (224355343).

It is a junction number, because it is equal to n+sod(n) for n = 224355299 and 224355308.

It is not an unprimeable number, because it can be changed into a prime (224355343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510841 + ... + 511279.

It is an arithmetic number, because the mean of its divisors is an integer number (5654880).

Almost surely, 2^224355340 is an apocalyptic number.

224355340 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 224355340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271434240).

224355340 is an abundant number, since it is smaller than the sum of its proper divisors (318513140).

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

224355340 is a wasteful number, since it uses less digits than its factorization.

224355340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 224355340 is about 14978.4959191502. The cubic root of 224355340 is about 607.6387620724.

It can be divided in two parts, 2 and 24355340, that added together give a palindrome (24355342).

The spelling of 224355340 in words is "two hundred twenty-four million, three hundred fifty-five thousand, three hundred forty".