242255520 has 144 divisors (see below), whose sum is σ = 890357832. Its totient is φ = 59627520.

The previous prime is 242255501. The next prime is 242255551. The reversal of 242255520 is 25552242.

It can be written as a sum of positive squares in 4 ways, for example, as 181602576 + 60652944 = 13476^2 + 7788^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 12250 + ... + 25190.

Almost surely, 2^242255520 is an apocalyptic number.

242255520 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 242255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445178916).

242255520 is an abundant number, since it is smaller than the sum of its proper divisors (648102312).

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

242255520 is a wasteful number, since it uses less digits than its factorization.

242255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12975 (or 12964 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 242255520 is about 15564.5597432115. The cubic root of 242255520 is about 623.3872189460.

The spelling of 242255520 in words is "two hundred forty-two million, two hundred fifty-five thousand, five hundred twenty".