224053505350422 has 128 divisors (see below), whose sum is σ = 519424725980160. Its totient is φ = 63775139581440.

The previous prime is 224053505350421. The next prime is 224053505350463.

224053505350422 is nontrivially palindromic in base 10.

224053505350422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×224053505350422⁴ (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224053505350421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669983568 + ... + 670317900.

It is an arithmetic number, because the mean of its divisors is an integer number (4058005671720).

Almost surely, 2^{224053505350422} is an apocalyptic number.

224053505350422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224053505350422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259712362990080).

224053505350422 is an abundant number, since it is smaller than the sum of its proper divisors (295371220629738).

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

224053505350422 is a wasteful number, since it uses less digits than its factorization.

224053505350422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343878.

The product of its (nonzero) digits is 1440000, while the sum is 42.

It can be divided in two parts, 22405350 and 5350422, that added together give a palindrome (27755772).

The spelling of 224053505350422 in words is "two hundred twenty-four trillion, fifty-three billion, five hundred five million, three hundred fifty thousand, four hundred twenty-two".