250150222400 has 84 divisors (see below), whose sum is σ = 662874091572. Its totient is φ = 92363151360.

The previous prime is 250150222291. The next prime is 250150222447. The reversal of 250150222400 is 4222051052.

250150222400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 32792863744 + 217357358656 = 181088^2 + 466216^2 .

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 11 ways as a sum of consecutive naturals, for example, 5992427 + ... + 6034026.

It is an arithmetic number, because the mean of its divisors is an integer number (7891358233).

Almost surely, 2^250150222400 is an apocalyptic number.

250150222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

250150222400 is an abundant number, since it is smaller than the sum of its proper divisors (412723869172).

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

250150222400 is a wasteful number, since it uses less digits than its factorization.

250150222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12026488 (or 12026473 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 250150222400 its reverse (4222051052), we get a palindrome (254372273452).

The spelling of 250150222400 in words is "two hundred fifty billion, one hundred fifty million, two hundred twenty-two thousand, four hundred".