242305220 has 24 divisors (see below), whose sum is σ = 514975104. Its totient is φ = 95753696.

The previous prime is 242305213. The next prime is 242305223. The reversal of 242305220 is 22503242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242305192 and 242305201.

It is not an unprimeable number, because it can be changed into a prime (242305223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71324 + ... + 74643.

It is an arithmetic number, because the mean of its divisors is an integer number (21457296).

Almost surely, 2^242305220 is an apocalyptic number.

242305220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242305220 is an abundant number, since it is smaller than the sum of its proper divisors (272669884).

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

242305220 is a wasteful number, since it uses less digits than its factorization.

242305220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146059 (or 146057 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 242305220 is about 15566.1562371704. The cubic root of 242305220 is about 623.4298464250.

Adding to 242305220 its reverse (22503242), we get a palindrome (264808462).

The spelling of 242305220 in words is "two hundred forty-two million, three hundred five thousand, two hundred twenty".