242222000 has 80 divisors (see below), whose sum is σ = 589140864. Its totient is φ = 96320000.

The previous prime is 242221961. The next prime is 242222011. The reversal of 242222000 is 222242.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561785 + ... + 562215.

Almost surely, 2^242222000 is an apocalyptic number.

242222000 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 242222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294570432).

242222000 is an abundant number, since it is smaller than the sum of its proper divisors (346918864).

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

242222000 is a wasteful number, since it uses less digits than its factorization.

242222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 242222000 is about 15563.4829006878. The cubic root of 242222000 is about 623.3584656921.

Adding to 242222000 its reverse (222242), we get a palindrome (242444242).

The spelling of 242222000 in words is "two hundred forty-two million, two hundred twenty-two thousand".