242193920 has 80 divisors (see below), whose sum is σ = 587774880. Its totient is φ = 95698944.

The previous prime is 242193901. The next prime is 242193923. The reversal of 242193920 is 29391242.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242193923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 227309 + ... + 228371.

It is an arithmetic number, because the mean of its divisors is an integer number (7347186).

Almost surely, 2^242193920 is an apocalyptic number.

242193920 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 242193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

242193920 is an abundant number, since it is smaller than the sum of its proper divisors (345580960).

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

242193920 is an equidigital number, since it uses as much as digits as its factorization.

242193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 242193920 is about 15562.5807628426. The cubic root of 242193920 is about 623.3343767955.

The spelling of 242193920 in words is "two hundred forty-two million, one hundred ninety-three thousand, nine hundred twenty".