242205700 has 108 divisors (see below), whose sum is σ = 594421156. Its totient is φ = 85536000.

The previous prime is 242205643. The next prime is 242205781. The reversal of 242205700 is 7502242.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 241926916 = 528^2 + 15554^2 .

It is a super-2 number, since 2×242205700² = 117327202224980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447430 + ... + 447970.

Almost surely, 2^242205700 is an apocalyptic number.

242205700 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 242205700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297210578).

242205700 is an abundant number, since it is smaller than the sum of its proper divisors (352215456).

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

242205700 is a wasteful number, since it uses less digits than its factorization.

242205700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 242205700 is about 15562.9592301721. The cubic root of 242205700 is about 623.3444826918.

Adding to 242205700 its reverse (7502242), we get a palindrome (249707942).

The spelling of 242205700 in words is "two hundred forty-two million, two hundred five thousand, seven hundred".