224011340 has 72 divisors (see below), whose sum is σ = 550715760. Its totient is φ = 76315008.

The previous prime is 224011297. The next prime is 224011379. The reversal of 224011340 is 43110422.

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, 174782 + ... + 176058.

It is an arithmetic number, because the mean of its divisors is an integer number (7648830).

Almost surely, 2^224011340 is an apocalyptic number.

224011340 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 224011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275357880).

224011340 is an abundant number, since it is smaller than the sum of its proper divisors (326704420).

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

224011340 is a wasteful number, since it uses less digits than its factorization.

224011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 224011340 is about 14967.0083851116. The cubic root of 224011340 is about 607.3280426900.

Adding to 224011340 its reverse (43110422), we get a palindrome (267121762).

It can be divided in two parts, 2240 and 11340, that multiplied together give a square (25401600 = 5040²).

The spelling of 224011340 in words is "two hundred twenty-four million, eleven thousand, three hundred forty".