250222400 has 84 divisors (see below), whose sum is σ = 648187680. Its totient is φ = 94809600.

The previous prime is 250222393. The next prime is 250222433. The reversal of 250222400 is 4222052.

It is a super-2 number, since 2×250222400² = 125222498923520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26285 + ... + 34515.

It is an arithmetic number, because the mean of its divisors is an integer number (7716520).

Almost surely, 2^250222400 is an apocalyptic number.

250222400 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 250222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324093840).

250222400 is an abundant number, since it is smaller than the sum of its proper divisors (397965280).

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

250222400 is a wasteful number, since it uses less digits than its factorization.

250222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 250222400 is about 15818.4196429353. The cubic root of 250222400 is about 630.1472738754.

Adding to 250222400 its reverse (4222052), we get a palindrome (254444452).

The spelling of 250222400 in words is "two hundred fifty million, two hundred twenty-two thousand, four hundred".