242107200 has 504 divisors, whose sum is σ = 972848448. Its totient is φ = 56770560.

The previous prime is 242107189. The next prime is 242107219. The reversal of 242107200 is 2701242.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5630379 + ... + 5630421.

Almost surely, 2^242107200 is an apocalyptic number.

242107200 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 242107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486424224).

242107200 is an abundant number, since it is smaller than the sum of its proper divisors (730741248).

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

242107200 is a wasteful number, since it uses less digits than its factorization.

242107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 242107200 is about 15559.7943431139. The cubic root of 242107200 is about 623.2599708399.

Adding to 242107200 its reverse (2701242), we get a palindrome (244808442).

The spelling of 242107200 in words is "two hundred forty-two million, one hundred seven thousand, two hundred".