224223344223340 has 192 divisors, whose sum is σ = 594165484781568. Its totient is φ = 69041704262400.

The previous prime is 224223344223293. The next prime is 224223344223401. The reversal of 224223344223340 is 43322443322422.

It is a super-2 number, since 2×224223344223340² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224223344223293 and 224223344223302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2734156617 + ... + 2734238623.

It is an arithmetic number, because the mean of its divisors is an integer number (3094611899904).

Almost surely, 2^{224223344223340} is an apocalyptic number.

224223344223340 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 224223344223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297082742390784).

224223344223340 is an abundant number, since it is smaller than the sum of its proper divisors (369942140558228).

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

224223344223340 is a wasteful number, since it uses less digits than its factorization.

224223344223340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103508 (or 103506 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

Adding to 224223344223340 its reverse (43322443322422), we get a palindrome (267545787545762).

The spelling of 224223344223340 in words is "two hundred twenty-four trillion, two hundred twenty-three billion, three hundred forty-four million, two hundred twenty-three thousand, three hundred forty".