242093600 has 144 divisors (see below), whose sum is σ = 715454208. Its totient is φ = 78090240.

The previous prime is 242093597. The next prime is 242093629. The reversal of 242093600 is 6390242.

It is a super-2 number, since 2×242093600² = 117218622321920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242093600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93929 + ... + 96471.

It is an arithmetic number, because the mean of its divisors is an integer number (4968432).

Almost surely, 2^242093600 is an apocalyptic number.

242093600 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 242093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357727104).

242093600 is an abundant number, since it is smaller than the sum of its proper divisors (473360608).

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

242093600 is a wasteful number, since it uses less digits than its factorization.

242093600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 242093600 is about 15559.3573132055. The cubic root of 242093600 is about 623.2483003976.

The spelling of 242093600 in words is "two hundred forty-two million, ninety-three thousand, six hundred".