252221200 has 240 divisors, whose sum is σ = 797091840. Its totient is φ = 74304000.

The previous prime is 252221191. The next prime is 252221209. The reversal of 252221200 is 2122252.

It is an interprime number because it is at equal distance from previous prime (252221191) and next prime (252221209).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (252221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584985 + ... + 585415.

It is an arithmetic number, because the mean of its divisors is an integer number (3321216).

Almost surely, 2^252221200 is an apocalyptic number.

252221200 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 252221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398545920).

252221200 is an abundant number, since it is smaller than the sum of its proper divisors (544870640).

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

252221200 is a wasteful number, since it uses less digits than its factorization.

252221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 252221200 is about 15881.4734832760. The cubic root of 252221200 is about 631.8207177204.

Adding to 252221200 its reverse (2122252), we get a palindrome (254343452).

The spelling of 252221200 in words is "two hundred fifty-two million, two hundred twenty-one thousand, two hundred".