242214100 has 36 divisors (see below), whose sum is σ = 526333500. Its totient is φ = 96751360.

The previous prime is 242214043. The next prime is 242214107. The reversal of 242214100 is 1412242.

It can be written as a sum of positive squares in 6 ways, for example, as 18352656 + 223861444 = 4284^2 + 14962^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242214107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103746 + ... + 106054.

It is an arithmetic number, because the mean of its divisors is an integer number (14620375).

Almost surely, 2^242214100 is an apocalyptic number.

242214100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242214100 is an abundant number, since it is smaller than the sum of its proper divisors (284119400).

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

242214100 is a wasteful number, since it uses less digits than its factorization.

242214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 242214100 is about 15563.2290993868. The cubic root of 242214100 is about 623.3516887335.

Adding to 242214100 its reverse (1412242), we get a palindrome (243626342).

The spelling of 242214100 in words is "two hundred forty-two million, two hundred fourteen thousand, one hundred".