242200204400 has 120 divisors (see below), whose sum is σ = 725468340864. Its totient is φ = 75490963200.

The previous prime is 242200204289. The next prime is 242200204403. The reversal of 242200204400 is 4402002242.

It is a super-2 number, since 2×242200204400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242200204403) 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, 3901022 + ... + 3962621.

Almost surely, 2^242200204400 is an apocalyptic number.

242200204400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242200204400 is an abundant number, since it is smaller than the sum of its proper divisors (483268136464).

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

242200204400 is a wasteful number, since it uses less digits than its factorization.

242200204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863679 (or 7863668 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 242200204400 its reverse (4402002242), we get a palindrome (246602206642).

The spelling of 242200204400 in words is "two hundred forty-two billion, two hundred million, two hundred four thousand, four hundred".