242314020 has 72 divisors (see below), whose sum is σ = 791566776. Its totient is φ = 59645952.

The previous prime is 242314013. The next prime is 242314027. The reversal of 242314020 is 20413242.

242314020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242314013) and next prime (242314027).

It can be written as a sum of positive squares in 4 ways, for example, as 14424804 + 227889216 = 3798^2 + 15096^2 .

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 = 242313984 and 242314002.

It is not an unprimeable number, because it can be changed into a prime (242314027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49437 + ... + 54116.

It is an arithmetic number, because the mean of its divisors is an integer number (10993983).

Almost surely, 2^242314020 is an apocalyptic number.

242314020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242314020 is an abundant number, since it is smaller than the sum of its proper divisors (549252756).

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

242314020 is a wasteful number, since it uses less digits than its factorization.

242314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103581 (or 103576 counting only the distinct ones).

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

The square root of 242314020 is about 15566.4388991188. The cubic root of 242314020 is about 623.4373935402.

Adding to 242314020 its reverse (20413242), we get a palindrome (262727262).

The spelling of 242314020 in words is "two hundred forty-two million, three hundred fourteen thousand, twenty".