242092152 has 128 divisors (see below), whose sum is σ = 692539200. Its totient is φ = 79315200.

The previous prime is 242092141. The next prime is 242092157. The reversal of 242092152 is 251290242.

It is a happy number.

242092152 is a `hidden beast` number, since 2 + 420 + 92 + 152 = 666.

It is a super-2 number, since 2×242092152² = 117217220119982208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242092157) 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 31 ways as a sum of consecutive naturals, for example, 1767028 + ... + 1767164.

Almost surely, 2^242092152 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 242092152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346269600).

242092152 is an abundant number, since it is smaller than the sum of its proper divisors (450447048).

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

242092152 is a wasteful number, since it uses less digits than its factorization.

242092152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 242092152 is about 15559.3107816510. The cubic root of 242092152 is about 623.2470578130.

The spelling of 242092152 in words is "two hundred forty-two million, ninety-two thousand, one hundred fifty-two".