224414240240 has 160 divisors (see below), whose sum is σ = 565482663936. Its totient is φ = 82579875840.

The previous prime is 224414240227. The next prime is 224414240251. The reversal of 224414240240 is 42042414422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9285452 + ... + 9309588.

Almost surely, 2^224414240240 is an apocalyptic number.

224414240240 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 224414240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282741331968).

224414240240 is an abundant number, since it is smaller than the sum of its proper divisors (341068423696).

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

224414240240 is a wasteful number, since it uses less digits than its factorization.

224414240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24367 (or 24361 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 224414240240 its reverse (42042414422), we get a palindrome (266456654662).

The spelling of 224414240240 in words is "two hundred twenty-four billion, four hundred fourteen million, two hundred forty thousand, two hundred forty".