241145200 has 60 divisors (see below), whose sum is σ = 588908488. Its totient is φ = 94867200.

The previous prime is 241145197. The next prime is 241145227. The reversal of 241145200 is 2541142.

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, 19459 + ... + 29341.

Almost surely, 2^241145200 is an apocalyptic number.

241145200 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 241145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294454244).

241145200 is an abundant number, since it is smaller than the sum of its proper divisors (347763288).

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

241145200 is a wasteful number, since it uses less digits than its factorization.

241145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9962 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 241145200 is about 15528.8505691825. The cubic root of 241145200 is about 622.4333783533.

Adding to 241145200 its reverse (2541142), we get a palindrome (243686342).

The spelling of 241145200 in words is "two hundred forty-one million, one hundred forty-five thousand, two hundred".