242100144 has 160 divisors (see below), whose sum is σ = 816614400. Its totient is φ = 67703040.

The previous prime is 242100119. The next prime is 242100163. The reversal of 242100144 is 441001242.

It is a super-2 number, since 2×242100144² = 117224959449641472, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59817 + ... + 63735.

It is an arithmetic number, because the mean of its divisors is an integer number (5103840).

Almost surely, 2^242100144 is an apocalyptic number.

242100144 is a gapful number since it is divisible by the number (24) 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 242100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408307200).

242100144 is an abundant number, since it is smaller than the sum of its proper divisors (574514256).

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

242100144 is a wasteful number, since it uses less digits than its factorization.

242100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3948 counting only the distinct ones).

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

The square root of 242100144 is about 15559.5676032466. The cubic root of 242100144 is about 623.2539159944.

Adding to 242100144 its reverse (441001242), we get a palindrome (683101386).

The spelling of 242100144 in words is "two hundred forty-two million, one hundred thousand, one hundred forty-four".