252022100 has 72 divisors (see below), whose sum is σ = 600149088. Its totient is φ = 91100800.

The previous prime is 252022081. The next prime is 252022103. The reversal of 252022100 is 1220252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252022103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 216119 + ... + 217281.

It is an arithmetic number, because the mean of its divisors is an integer number (8335404).

Almost surely, 2^252022100 is an apocalyptic number.

252022100 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 252022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300074544).

252022100 is an abundant number, since it is smaller than the sum of its proper divisors (348126988).

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

252022100 is a wasteful number, since it uses less digits than its factorization.

252022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 252022100 is about 15875.2039356980. The cubic root of 252022100 is about 631.6544237163.

Adding to 252022100 its reverse (1220252), we get a palindrome (253242352).

The spelling of 252022100 in words is "two hundred fifty-two million, twenty-two thousand, one hundred".