252223532000 has 288 divisors, whose sum is σ = 692420182272. Its totient is φ = 90203520000.

The previous prime is 252223531981. The next prime is 252223532009. The reversal of 252223532000 is 235322252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252223532009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29519729 + ... + 29528271.

It is an arithmetic number, because the mean of its divisors is an integer number (2404236744).

Almost surely, 2^252223532000 is an apocalyptic number.

252223532000 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 252223532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346210091136).

252223532000 is an abundant number, since it is smaller than the sum of its proper divisors (440196650272).

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

252223532000 is a wasteful number, since it uses less digits than its factorization.

252223532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8651 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

Adding to 252223532000 its reverse (235322252), we get a palindrome (252458854252).

The spelling of 252223532000 in words is "two hundred fifty-two billion, two hundred twenty-three million, five hundred thirty-two thousand".