422000000224 has 96 divisors (see below), whose sum is σ = 918281774592. Its totient is φ = 189303360000.

The previous prime is 422000000197. The next prime is 422000000237.

422000000224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 422000000198 and 422000000207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11037589 + ... + 11075755.

It is an arithmetic number, because the mean of its divisors is an integer number (9565435152).

Almost surely, 2^422000000224 is an apocalyptic number.

422000000224 is a gapful number since it is divisible by the number (44) 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 422000000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459140887296).

422000000224 is an abundant number, since it is smaller than the sum of its proper divisors (496281774368).

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

422000000224 is a wasteful number, since it uses less digits than its factorization.

422000000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38600 (or 38592 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

It can be divided in two parts, 422000000 and 224, that added together give a palindrome (422000224).

The spelling of 422000000224 in words is "four hundred twenty-two billion, two hundred twenty-four", and thus it is an aban number.