242729216 has 36 divisors (see below), whose sum is σ = 487070892. Its totient is φ = 120723456.

The previous prime is 242729209. The next prime is 242729219. The reversal of 242729216 is 612927242.

It can be written as a sum of positive squares in 2 ways, for example, as 216678400 + 26050816 = 14720^2 + 5104^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (242729219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48026 + ... + 52838.

It is an arithmetic number, because the mean of its divisors is an integer number (13529747).

Almost surely, 2^242729216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243535446).

242729216 is an abundant number, since it is smaller than the sum of its proper divisors (244341676).

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

242729216 is an equidigital number, since it uses as much as digits as its factorization.

242729216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5012 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 242729216 is about 15579.7694463044. The cubic root of 242729216 is about 623.7932692342.

The spelling of 242729216 in words is "two hundred forty-two million, seven hundred twenty-nine thousand, two hundred sixteen".