242182920 has 64 divisors (see below), whose sum is σ = 830344320. Its totient is φ = 55355904.

The previous prime is 242182903. The next prime is 242182991. The reversal of 242182920 is 29281242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143317 + ... + 144996.

It is an arithmetic number, because the mean of its divisors is an integer number (12974130).

Almost surely, 2^242182920 is an apocalyptic number.

242182920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242182920 is an abundant number, since it is smaller than the sum of its proper divisors (588161400).

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

242182920 is a wasteful number, since it uses less digits than its factorization.

242182920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288334 (or 288330 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 242182920 is about 15562.2273470092. The cubic root of 242182920 is about 623.3249397544.

The spelling of 242182920 in words is "two hundred forty-two million, one hundred eighty-two thousand, nine hundred twenty".