241442100 has 144 divisors (see below), whose sum is σ = 781616640. Its totient is φ = 63936000.

The previous prime is 241442093. The next prime is 241442111. The reversal of 241442100 is 1244142.

241442100 is a `hidden beast` number, since 241 + 4 + 421 + 0 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 601900 + ... + 602300.

Almost surely, 2^241442100 is an apocalyptic number.

241442100 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 241442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390808320).

241442100 is an abundant number, since it is smaller than the sum of its proper divisors (540174540).

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

241442100 is a wasteful number, since it uses less digits than its factorization.

241442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 241442100 is about 15538.4072542845. The cubic root of 241442100 is about 622.6887219930.

Adding to 241442100 its reverse (1244142), we get a palindrome (242686242).

It can be divided in two parts, 24144 and 2100, that added together give a square (26244 = 162²).

The spelling of 241442100 in words is "two hundred forty-one million, four hundred forty-two thousand, one hundred".