242188224 has 56 divisors (see below), whose sum is σ = 648035280. Its totient is φ = 79816704.

The previous prime is 242188211. The next prime is 242188259. The reversal of 242188224 is 422881242.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10002 + ... + 24174.

Almost surely, 2^242188224 is an apocalyptic number.

242188224 is a gapful number since it is divisible by the number (24) 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 242188224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324017640).

242188224 is an abundant number, since it is smaller than the sum of its proper divisors (405847056).

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

242188224 is a wasteful number, since it uses less digits than its factorization.

242188224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14277 (or 14267 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 242188224 is about 15562.3977587003. The cubic root of 242188224 is about 623.3294901597.

The spelling of 242188224 in words is "two hundred forty-two million, one hundred eighty-eight thousand, two hundred twenty-four".