252242100 has 360 divisors, whose sum is σ = 945252000. Its totient is φ = 57542400.

The previous prime is 252242099. The next prime is 252242113. The reversal of 252242100 is 1242252.

252242100 is a `hidden beast` number, since 2 + 522 + 42 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 1692826 + ... + 1692974.

It is an arithmetic number, because the mean of its divisors is an integer number (2625700).

Almost surely, 2^252242100 is an apocalyptic number.

252242100 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 252242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472626000).

252242100 is an abundant number, since it is smaller than the sum of its proper divisors (693009900).

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

252242100 is a wasteful number, since it uses less digits than its factorization.

252242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252242100 is about 15882.1314690441. The cubic root of 252242100 is about 631.8381689210.

Adding to 252242100 its reverse (1242252), we get a palindrome (253484352).

The spelling of 252242100 in words is "two hundred fifty-two million, two hundred forty-two thousand, one hundred".