242165952 has 168 divisors, whose sum is σ = 840187296. Its totient is φ = 65101824.

The previous prime is 242165951. The next prime is 242165971. The reversal of 242165952 is 259561242.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242165951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66778 + ... + 70310.

Almost surely, 2^242165952 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 242165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420093648).

242165952 is an abundant number, since it is smaller than the sum of its proper divisors (598021344).

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

242165952 is a wasteful number, since it uses less digits than its factorization.

242165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3562 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 242165952 is about 15561.6821712821. The cubic root of 242165952 is about 623.3103821291.

The spelling of 242165952 in words is "two hundred forty-two million, one hundred sixty-five thousand, nine hundred fifty-two".