224200040002422 has 192 divisors, whose sum is σ = 512728782596352. Its totient is φ = 65250717523200.

The previous prime is 224200040002409. The next prime is 224200040002447.

224200040002422 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 224200040002392 and 224200040002401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2633051253 + ... + 2633136399.

It is an arithmetic number, because the mean of its divisors is an integer number (2670462409356).

Almost surely, 2^{224200040002422} is an apocalyptic number.

224200040002422 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 224200040002422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256364391298176).

224200040002422 is an abundant number, since it is smaller than the sum of its proper divisors (288528742593930).

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

224200040002422 is a wasteful number, since it uses less digits than its factorization.

224200040002422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86475 (or 86464 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 224200040002422 in words is "two hundred twenty-four trillion, two hundred billion, forty million, two thousand, four hundred twenty-two".