224311012420 has 72 divisors (see below), whose sum is σ = 521549246232. Its totient is φ = 80972136960.

The previous prime is 224311012411. The next prime is 224311012447. The reversal of 224311012420 is 24210113422.

224311012420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38605176324 + 185705836096 = 196482^2 + 430936^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 224311012391 and 224311012400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6747 + ... + 669826.

It is an arithmetic number, because the mean of its divisors is an integer number (7243739531).

Almost surely, 2^224311012420 is an apocalyptic number.

224311012420 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 224311012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260774623116).

224311012420 is an abundant number, since it is smaller than the sum of its proper divisors (297238233812).

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

224311012420 is a wasteful number, since it uses less digits than its factorization.

224311012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676741 (or 676728 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 224311012420 its reverse (24210113422), we get a palindrome (248521125842).

The spelling of 224311012420 in words is "two hundred twenty-four billion, three hundred eleven million, twelve thousand, four hundred twenty".