252222345504 has 48 divisors (see below), whose sum is σ = 735648510240. Its totient is φ = 84074114880.

The previous prime is 252222345497. The next prime is 252222345527. The reversal of 252222345504 is 405543222252.

252222345504 is a `hidden beast` number, since 2 + 52 + 2 + 22 + 34 + 550 + 4 = 666.

252222345504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×252222345504² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145961142 + ... + 145962869.

It is an arithmetic number, because the mean of its divisors is an integer number (15326010630).

Almost surely, 2^252222345504 is an apocalyptic number.

252222345504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252222345504 is an abundant number, since it is smaller than the sum of its proper divisors (483426164736).

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

252222345504 is a wasteful number, since it uses less digits than its factorization.

252222345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291924030 (or 291924016 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 252222345504 its reverse (405543222252), we get a palindrome (657765567756).

The spelling of 252222345504 in words is "two hundred fifty-two billion, two hundred twenty-two million, three hundred forty-five thousand, five hundred four".