242030208 has 192 divisors, whose sum is σ = 788378400. Its totient is φ = 65415168.

The previous prime is 242030161. The next prime is 242030231. The reversal of 242030208 is 802030242.

242030208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×242030208³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357166 + ... + 357842.

Almost surely, 2^242030208 is an apocalyptic number.

242030208 is a gapful number since it is divisible by the number (28) 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 242030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394189200).

242030208 is an abundant number, since it is smaller than the sum of its proper divisors (546348192).

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

242030208 is a wasteful number, since it uses less digits than its factorization.

242030208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 242030208 is about 15557.3200776998. The cubic root of 242030208 is about 623.1938966391.

The spelling of 242030208 in words is "two hundred forty-two million, thirty thousand, two hundred eight".