224372374500252 has 192 divisors, whose sum is σ = 590491806105600. Its totient is φ = 65727262656000.

The previous prime is 224372374500221. The next prime is 224372374500289. The reversal of 224372374500252 is 252005473273422.

224372374500252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 168476377 + ... + 169802927.

It is an arithmetic number, because the mean of its divisors is an integer number (3075478156800).

Almost surely, 2^{224372374500252} is an apocalyptic number.

224372374500252 is a gapful number since it is divisible by the number (22) 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 224372374500252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295245903052800).

224372374500252 is an abundant number, since it is smaller than the sum of its proper divisors (366119431605348).

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

224372374500252 is a wasteful number, since it uses less digits than its factorization.

224372374500252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326952 (or 1326950 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 48.

The spelling of 224372374500252 in words is "two hundred twenty-four trillion, three hundred seventy-two billion, three hundred seventy-four million, five hundred thousand, two hundred fifty-two".