252211200 has 156 divisors (see below), whose sum is σ = 834892248. Its totient is φ = 67174400.

The previous prime is 252211199. The next prime is 252211217. The reversal of 252211200 is 2112252.

It is a super-2 number, since 2×252211200² = 127220978810880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 252211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306790 + ... + 307610.

Almost surely, 2^252211200 is an apocalyptic number.

252211200 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 252211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417446124).

252211200 is an abundant number, since it is smaller than the sum of its proper divisors (582681048).

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

252211200 is an equidigital number, since it uses as much as digits as its factorization.

252211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 252211200 is about 15881.1586479073. The cubic root of 252211200 is about 631.8123675227.

Adding to 252211200 its reverse (2112252), we get a palindrome (254323452).

The spelling of 252211200 in words is "two hundred fifty-two million, two hundred eleven thousand, two hundred".