224216954080 has 192 divisors, whose sum is σ = 637642091520. Its totient is φ = 72783360000.

The previous prime is 224216954057. The next prime is 224216954089. The reversal of 224216954080 is 80459612422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224216954089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63859525 + ... + 63863035.

It is an arithmetic number, because the mean of its divisors is an integer number (3321052560).

Almost surely, 2^224216954080 is an apocalyptic number.

224216954080 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 224216954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318821045760).

224216954080 is an abundant number, since it is smaller than the sum of its proper divisors (413425137440).

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

224216954080 is a wasteful number, since it uses less digits than its factorization.

224216954080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6553 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 224216954080 in words is "two hundred twenty-four billion, two hundred sixteen million, nine hundred fifty-four thousand, eighty".