224006382420 has 48 divisors (see below), whose sum is σ = 627615360960. Its totient is φ = 59697179136.

The previous prime is 224006382409. The next prime is 224006382433. The reversal of 224006382420 is 24283600422.

It is a congruent number.

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, 1087477 + ... + 1276956.

It is an arithmetic number, because the mean of its divisors is an integer number (13075320020).

Almost surely, 2^224006382420 is an apocalyptic number.

224006382420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224006382420 is an abundant number, since it is smaller than the sum of its proper divisors (403608978540).

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

224006382420 is a wasteful number, since it uses less digits than its factorization.

224006382420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366024 (or 2366022 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 224006382420 its reverse (24283600422), we get a palindrome (248289982842).

The spelling of 224006382420 in words is "two hundred twenty-four billion, six million, three hundred eighty-two thousand, four hundred twenty".