242100200 has 48 divisors (see below), whose sum is σ = 564859680. Its totient is φ = 96500160.

The previous prime is 242100197. The next prime is 242100211. The reversal of 242100200 is 2001242.

It is a super-2 number, since 2×242100200² = 117225013680080000, which contains 22 as substring.

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, 59429 + ... + 63371.

It is an arithmetic number, because the mean of its divisors is an integer number (11767910).

Almost surely, 2^242100200 is an apocalyptic number.

242100200 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 242100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282429840).

242100200 is an abundant number, since it is smaller than the sum of its proper divisors (322759480).

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

242100200 is a wasteful number, since it uses less digits than its factorization.

242100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 242100200 is about 15559.5694027823. The cubic root of 242100200 is about 623.2539640492.

Adding to 242100200 its reverse (2001242), we get a palindrome (244101442).

The spelling of 242100200 in words is "two hundred forty-two million, one hundred thousand, two hundred".