242314100 has 72 divisors (see below), whose sum is σ = 615668928. Its totient is φ = 81043200.

The previous prime is 242314099. The next prime is 242314103. The reversal of 242314100 is 1413242.

It is a super-2 number, since 2×242314100² = 117432246117620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242314103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24479 + ... + 32921.

Almost surely, 2^242314100 is an apocalyptic number.

242314100 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 242314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307834464).

242314100 is an abundant number, since it is smaller than the sum of its proper divisors (373354828).

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

242314100 is a wasteful number, since it uses less digits than its factorization.

242314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 242314100 is about 15566.4414687494. The cubic root of 242314100 is about 623.4374621495.

Adding to 242314100 its reverse (1413242), we get a palindrome (243727342).

The spelling of 242314100 in words is "two hundred forty-two million, three hundred fourteen thousand, one hundred".