242221320 has 128 divisors (see below), whose sum is σ = 880848000. Its totient is φ = 58717440.

The previous prime is 242221313. The next prime is 242221361. The reversal of 242221320 is 23122242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242221293 and 242221302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686 + ... + 22074.

It is an arithmetic number, because the mean of its divisors is an integer number (6881625).

Almost surely, 2^242221320 is an apocalyptic number.

242221320 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 242221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440424000).

242221320 is an abundant number, since it is smaller than the sum of its proper divisors (638626680).

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

242221320 is a wasteful number, since it uses less digits than its factorization.

242221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20420 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242221320 is about 15563.4610546626. The cubic root of 242221320 is about 623.3578823647.

Adding to 242221320 its reverse (23122242), we get a palindrome (265343562).

The spelling of 242221320 in words is "two hundred forty-two million, two hundred twenty-one thousand, three hundred twenty".