252233300 has 72 divisors (see below), whose sum is σ = 617772960. Its totient is φ = 88547200.

The previous prime is 252233299. The next prime is 252233321. The reversal of 252233300 is 3332252.

252233300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27947 + ... + 35853.

It is an arithmetic number, because the mean of its divisors is an integer number (8580180).

Almost surely, 2^252233300 is an apocalyptic number.

252233300 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 252233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308886480).

252233300 is an abundant number, since it is smaller than the sum of its proper divisors (365539660).

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

252233300 is a wasteful number, since it uses less digits than its factorization.

252233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 252233300 is about 15881.8544257275. The cubic root of 252233300 is about 631.8308211646.

Adding to 252233300 its reverse (3332252), we get a palindrome (255565552).

The spelling of 252233300 in words is "two hundred fifty-two million, two hundred thirty-three thousand, three hundred".