224402344240 has 80 divisors (see below), whose sum is σ = 533031240960. Its totient is φ = 87835334400.

The previous prime is 224402344223. The next prime is 224402344253. The reversal of 224402344240 is 42443204422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224402344240² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 670731 + ... + 947989.

It is an arithmetic number, because the mean of its divisors is an integer number (6662890512).

Almost surely, 2^224402344240 is an apocalyptic number.

224402344240 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 224402344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266515620480).

224402344240 is an abundant number, since it is smaller than the sum of its proper divisors (308628896720).

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

224402344240 is a wasteful number, since it uses less digits than its factorization.

224402344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277490 (or 277484 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 224402344240 its reverse (42443204422), we get a palindrome (266845548662).

The spelling of 224402344240 in words is "two hundred twenty-four billion, four hundred two million, three hundred forty-four thousand, two hundred forty".